Question

(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u = Let z = = and put g(x, y) = (u(x, y), v(x, y). The derivative matrix D(f ° g)(x, y) (Leaving your answer in terms of u, v, x, y ) (1 point) Evaluate d r(g(t)) using the Chain Rule: r() %3D (ё. e*, -9), g(0) 3t 6 = rg() = dt g(u, v, w) and u(r, s), v(r, s), w(r, s). How many terms are there in the expression for dz/dr? (1 point) Let z = terms (1 point) Given z = f(x, y), = 4, calculate z (3,6) in terms of some of x = x(u, v), y y(u, v), with x(3, 6) = 1 and y(3,6) the values given in the table below. f&(3, 6) = 2 fy(3, 6) = c x4(3,6) = p ya(3,6) = s fr(1,4) af,(1, 4) = q x,(3, 6) = 1 y,(3,6) = d Z(3,6) =

Answer 1

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