343b27a8-40ac-481d-a92f-d7a569adabef 2 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

NOT productive φ sin β / α sin R / - 0 ≡ α solve maple φ sin β / α φ + sin 1 m + (R * / - 0 ≡ β solve maple 21 mat sinφ R * β / asin sinφ 1 m + (* R * α φ + sin / 21 mat

Solve productive wrt 'x' compatible QUICKplot

x f1 φ sin β / α sin R / - x ≡ α solve maple : R sinφ - x β * + (* β / asin -

x f2 φ sin β / α φ + sin 1 m + (R * / - x ≡ β solve maple : sinφ 1 m + (* R * x R * 1 m + (* α φ + sin + /

α 1 : β 15 : R 0.5 : m 0.5 : φ 17.75 : 15 mat

plot R φ sin - x β * + (* β / asin - φ sin 1 m + (* R * x R * 1 m + (* α φ + sin + / 21 sys :

plot

Maple style LambertW two branches ... x W0 w w exp * x - 0 ≡ w 1 e / - roots : x W1 w w exp * x - 0 ≡ w 2 sqrt - roots : x W w w exp * x - 0 ≡ w 1 e / - roots : 31 sys

Solve productive Thermodynamic

T ln b K ln - (c / + (T ln b K ln - c / (+ exp * x ≡ T solve maple b K ln - c x LambertW * - c / - exp

T ln b K ln - (c / + (T ln b K ln - c / (+ exp * x ≡ K solve maple T ln c * b + c x LambertW * - exp

u 0 x ≤ : b 0.75 : c 1 : K 15 : T 10 : 14 mat x equilibrium_T b K ln - c x W * - c / - exp : x equilibrium_K T ln c * b + c x W * - exp : 41 sys

x equilibrium_T u / x equilibrium_K u / 0.946 12.25 + 40 black 1 5 mat 3 1 sys

NO solvers are compatible Lambert

x 0.946 :

x equilibrium_T x equilibrium_K - 0.0003

x equilibrium_K 12.2473