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show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:id xml:space="preserve">l</ml:id> </ml:parens> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3623" left="162" top="124.5" width="79.5" height="13.5" align-x="185.25" align-y="134.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:id xml:space="preserve">l</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3624" left="282" top="124.5" width="36" height="13.5" align-x="306" align-y="134.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> </region> <region region-id="3486" left="6" top="148.5" width="156" height="13.5" align-x="30.75" align-y="158.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3487" left="174" top="148.5" width="159" height="13.5" align-x="198.75" align-y="158.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="933" left="6" top="171.75" width="179.25" height="38.25" align-x="65.25" align-y="194.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> </region> <region region-id="3504" left="6" top="213.75" width="372.75" height="54" align-x="239.25" align-y="236.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">x''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ξ</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="a">ρ</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3521" left="6" top="279" width="336" height="48.75" align-x="202.5" align-y="296.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">y''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ξ</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="a">ρ</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3823" left="348" top="286.5" width="88.5" height="24" align-x="357.75" align-y="296.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> With simplify С упрощением </text> </region> <region region-id="3148" left="18" top="334.5" width="159.75" height="49.5" align-x="44.25" align-y="362.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">F</ml:id> </ml:matrix> <ml:apply> <ml:Odesolve method="radau"/> <ml:sequence> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">F</ml:id> </ml:matrix> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>1000</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="3149" left="210" top="347.25" width="78.75" height="32.25" align-x="219.75" align-y="368.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>1000</ml:real> </ml:apply> </ml:sequence> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="506" left="6" top="395.25" width="78" height="32.25" align-x="15.75" align-y="416.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">FRAME</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>300</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="507" left="114" top="406.5" width="78" height="17.25" align-x="129" align-y="416.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t1</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:real>0.01</ml:real> </ml:sequence> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="1117" left="36" top="466.5" width="24.75" 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align-x="167.25" align-y="500.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:id xml:space="preserve">l</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1130" left="258" top="490.5" width="36" height="13.5" align-x="282" align-y="500.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> </region> <region region-id="1131" left="324" top="490.5" width="156" height="13.5" align-x="348.75" align-y="500.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1878" left="372" top="520.5" width="159" height="13.5" align-x="396.75" align-y="530.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1120" left="156" top="519" width="84.75" height="29.25" align-x="192.75" align-y="536.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">x''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">l</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1121" left="24" top="527.25" width="73.5" height="18.75" align-x="83.25" align-y="542.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">l</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> 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region-id="1123" left="24" top="610.5" width="141" height="49.5" align-x="55.5" align-y="638.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x0</ml:id> <ml:id xml:space="preserve">y0</ml:id> <ml:id xml:space="preserve">F0</ml:id> </ml:matrix> <ml:apply> <ml:Odesolve method="radau"/> <ml:sequence> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">F</ml:id> </ml:matrix> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="1124" left="216" top="623.25" width="78.75" height="32.25" align-x="225.75" align-y="644.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>1000</ml:real> </ml:apply> </ml:sequence> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="1233" left="30" top="680.25" width="66.75" height="30.75" align-x="58.5" align-y="698.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">y1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:matrix> </ml:define> </math> </region> <region region-id="1234" left="138" top="680.25" width="66.75" height="30.75" align-x="166.5" align-y="698.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">x1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:matrix> </ml:define> </math> </region> <region region-id="1235" left="24" top="730.5" width="24.75" height="13.5" align-x="35.25" align-y="740.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> </region> <region region-id="1236" left="24" top="754.5" width="71.25" height="13.5" align-x="47.25" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:id xml:space="preserve">l</ml:id> </ml:parens> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1237" left="132" top="754.5" width="79.5" height="13.5" align-x="155.25" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:id xml:space="preserve">l</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1238" left="252" top="754.5" width="36" height="13.5" align-x="276" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> </region> <region region-id="1239" left="318" top="754.5" width="156" height="13.5" align-x="342.75" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3181" left="456" top="784.5" width="159" height="13.5" align-x="480.75" align-y="794.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3169" left="246" top="783" width="176.25" height="48.75" align-x="282.75" align-y="800.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">x''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1242" left="12" top="783.75" width="179.25" height="38.25" align-x="71.25" align-y="806.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> </region> <region region-id="1243" left="12" top="831" width="205.5" height="48.75" align-x="78" align-y="848.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">y''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1245" left="12" top="912.75" width="133.5" height="45.75" align-x="45.75" align-y="938.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x00</ml:id> <ml:id xml:space="preserve">y00</ml:id> <ml:id xml:space="preserve">F00</ml:id> </ml:matrix> <ml:apply> <ml:Odesolve method="radau"/> <ml:sequence> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">F</ml:id> </ml:matrix> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="1351" left="12" top="987.75" width="88.5" height="20.25" align-x="34.5" align-y="1004.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">L</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1361" left="180" top="1005.75" width="102" height="20.25" align-x="207" align-y="1022.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">L0</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x0</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y0</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1365" left="354" top="1017.75" width="115.5" height="20.25" align-x="385.5" align-y="1034.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">L00</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x00</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y00</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1352" left="12" top="1024.5" width="77.25" height="27.75" align-x="35.25" align-y="1040.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">α</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">asin</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">L</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1362" left="180" top="1042.5" width="86.25" height="27.75" align-x="207.75" align-y="1058.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">α0</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id 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top="171.75" width="179.25" height="38.25" align-x="65.25" align-y="194.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> </region> <region region-id="3504" left="6" top="213.75" width="372.75" height="54" align-x="239.25" align-y="236.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">x''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ξ</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="a">ρ</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3521" left="6" top="279" width="336" height="48.75" align-x="202.5" align-y="296.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">y''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ξ</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="a">ρ</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3823" left="348" top="286.5" width="88.5" height="24" align-x="357.75" align-y="296.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> With simplify С упрощением </text> </region> <region region-id="3148" left="18" top="334.5" width="159.75" height="49.5" align-x="44.25" align-y="362.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">F</ml:id> </ml:matrix> <ml:apply> <ml:Odesolve method="radau"/> <ml:sequence> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">F</ml:id> </ml:matrix> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>1000</ml:real> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="3149" left="210" top="347.25" width="78.75" height="32.25" align-x="219.75" align-y="368.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>1000</ml:real> </ml:apply> </ml:sequence> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="506" left="6" top="395.25" width="78" height="32.25" align-x="15.75" align-y="416.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">FRAME</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>300</ml:real> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="507" left="114" top="406.5" width="78" height="17.25" align-x="129" align-y="416.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t1</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:real>0.01</ml:real> </ml:sequence> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="1117" left="36" top="466.5" width="24.75" 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<ml:real>0</ml:real> </ml:apply> </math> </region> <region region-id="1131" left="324" top="490.5" width="156" height="13.5" align-x="348.75" align-y="500.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1878" left="372" top="520.5" width="159" height="13.5" align-x="396.75" align-y="530.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1120" left="156" top="519" width="84.75" height="29.25" align-x="192.75" align-y="536.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">x''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">l</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1121" left="24" top="527.25" width="73.5" height="18.75" align-x="83.25" align-y="542.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">l</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> 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is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:range> <ml:sequence> <ml:real>0</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>1000</ml:real> </ml:apply> </ml:sequence> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:range> </ml:define> </math> </region> <region region-id="1233" left="30" top="680.25" width="66.75" height="30.75" align-x="58.5" align-y="698.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">y1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:matrix> </ml:define> </math> </region> <region region-id="1234" left="138" top="680.25" width="66.75" height="30.75" align-x="166.5" align-y="698.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">x1</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="2" cols="1"> <ml:real>0</ml:real> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:matrix> </ml:define> </math> </region> <region region-id="1235" left="24" top="730.5" width="24.75" height="13.5" align-x="35.25" align-y="740.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:id xml:space="preserve" xmlns:ml="http://schemas.mathsoft.com/math30">Given</ml:id> </math> </region> <region region-id="1236" left="24" top="754.5" width="71.25" height="13.5" align-x="47.25" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:id xml:space="preserve">l</ml:id> </ml:parens> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1237" left="132" top="754.5" width="79.5" height="13.5" align-x="155.25" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:neg/> <ml:parens> <ml:id xml:space="preserve">l</ml:id> </ml:parens> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1238" left="252" top="754.5" width="36" height="13.5" align-x="276" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> </region> <region region-id="1239" left="318" top="754.5" width="156" height="13.5" align-x="342.75" align-y="764.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">x'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3181" left="456" top="784.5" width="159" height="13.5" align-x="480.75" align-y="794.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">y'</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">Pendium initial speed</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">α</ml:id> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="3169" left="246" top="783" width="176.25" height="48.75" align-x="282.75" align-y="800.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">x''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1242" left="12" top="783.75" width="179.25" height="38.25" align-x="71.25" align-y="806.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </math> </region> <region region-id="1243" left="12" top="831" width="205.5" height="48.75" align-x="78" align-y="848.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:apply> <ml:id xml:space="preserve">y''</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">l</ml:id> <ml:apply> <ml:id xml:space="preserve">if</ml:id> <ml:sequence> <ml:apply> <ml:equal/> <ml:id xml:space="preserve">KH</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">F</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="H">k</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:sequence> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </math> </region> <region region-id="1245" left="12" top="912.75" width="133.5" height="45.75" align-x="45.75" align-y="938.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x00</ml:id> <ml:id xml:space="preserve">y00</ml:id> <ml:id xml:space="preserve">F00</ml:id> </ml:matrix> <ml:apply> <ml:Odesolve method="radau"/> <ml:sequence> <ml:matrix rows="3" cols="1"> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">F</ml:id> </ml:matrix> <ml:id xml:space="preserve">t</ml:id> <ml:id xml:space="preserve" subscript="end">t</ml:id> </ml:sequence> </ml:apply> </ml:define> </math> </region> <region region-id="1351" left="12" top="987.75" width="88.5" height="20.25" align-x="34.5" align-y="1004.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">L</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1361" left="180" top="1005.75" width="102" height="20.25" align-x="207" align-y="1022.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">L0</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x0</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y0</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1365" left="354" top="1017.75" width="115.5" height="20.25" align-x="385.5" align-y="1034.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">L00</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">x00</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve">y00</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1352" left="12" top="1024.5" width="77.25" height="27.75" align-x="35.25" align-y="1040.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">α</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">asin</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">L</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1362" left="180" top="1042.5" width="86.25" height="27.75" align-x="207.75" align-y="1058.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">α0</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">asin</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x0</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">L0</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="1366" left="354" top="1054.5" width="95.25" height="27.75" align-x="386.25" align-y="1070.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">α00</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id xml:space="preserve">asin</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">x00</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">L00</ml:id> <ml:id xml:space="preserve">t</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="3088" left="6" top="1127.25" width="42.75" height="12.75" align-x="15" align-y="1136.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>300</ml:real> </ml:range> </ml:define> </math> </region> <region region-id="3089" left="96" top="1118.25" width="52.5" height="30" align-x="110.25" align-y="1136.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">ti</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="end">t</ml:id> <ml:real>300</ml:real> </ml:apply> <ml:id xml:space="preserve">i</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="3090" left="228" top="1121.25" width="40.5" height="18.75" align-x="242.25" align-y="1136.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">yi</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">ti</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="3091" left="312" top="1127.25" width="63" height="15" align-x="337.5" align-y="1136.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">y</ml:id> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:id xml:space="preserve">yi</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="3092" left="432" top="1127.25" width="58.5" height="18.75" align-x="455.25" align-y="1142.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y00i</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:id xml:space="preserve">y00</ml:id> <ml:id xml:space="preserve">ti</ml:id> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="3093" left="540" top="1133.25" width="81" height="15" align-x="574.5" align-y="1142.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="min">y00</ml:id> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:id xml:space="preserve">y00i</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="3082" left="18" top="1170" width="155.25" height="50.25" align-x="47.25" align-y="1208.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">KE</ml:id> <ml:boundVars> <ml:id xml:space="preserve">t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">m</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:derivative/> <ml:lambda> <ml:boundVars> <ml:id 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