Question : 151) f(x, y, z) = cos (-7x) sin (-2y) e( : 1757196

151) f(x, y, z) = cos (-7x) sin (-2y) e( 53z)

A) No B) Yes

152) Evaluate dw/dt at t = 3/2 π for the function w(x, y) = x² - y² - 10x; x = cost, y = sin t.

A) -12 B) -10 C) -14 D) -8

153) Evaluate dw/dt at t = 3/2 π for the function w(x, y, z) = xy/z; x = sin t, y = cost, z = t2.

154) Evaluate dw/dt at t = 10 for the function w(x, y) = ey - ln x; x = t2, y = ln t.

A) 8 B) 4/5 C) 9/10 D) - 4/5

155) Evaluate dw/dt at t = 4 for the function w(x, y, z) = exyz²; x = t, y = t, z = 1/t.

A) 32B) 3/2 e C) 0 D) - 3/2e

156) Evaluate ∂w/∂u at (u,v) = (3, 2) for the function w(x, y) = xy - y²; x = u - v, y = uv.

A) 5 B) 7 C) 1 D) -16

157) Evaluate ∂w/∂v at (u, v) = (3, 4) for the function w(x, y) = xy² - ln x; x = eu+v, y = uv.

A) 180e7 - 1 B) -1 C) 432e7 - 1 D) 216e7 - 1

158) Evaluate ∂w/∂u at (u, v) = (3, 2) for the function w(x, y, z) = xz + yz - z²; x = uv, y = uv, z = u.

A) -6 B) 0 C) 18 D) 24

158)

159) Evaluate ∂u/∂x at (x, y, z) = (1, 5, 3) for the function u(p, q, r) = p2 - q2 - r; p = xy, q = y², r = xz.

A) 53 B) 7 C) 13 D) 47

160) Evaluate ∂u/∂z at (x, y, z) = (1, 4, 2) for the function u(p, q, r) = p2q2 - r; p = y - z, q = x + z, r = x + y.

A) 60 B) -24 C) -6 D) -12