Question

My Notes Let W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable, and the following applies. u(2, −4) = 4 v(2, −4) = −8 us(2, −4) = 5 vs(2, −4) = 3 ut(2, −4) = −1 vt(2, −4) = 1 Fu(4, −8) = −3 Fv(4, −8) = 0 Find Ws(2, −4) and Wt(2, −4).

Answer 1

Answer:

Step-by-step explanation:

$W_s(2,-4)=F_u U_s + F_v V_s\\=-3(5)+0(3)\\-15+0\\=-15\\\\\\W_t(2,-4)=F_u U_t + F_v V_t\\=-3(-1)+0(1)\\3+0\\=3$