11. af/ðu and af/av at (u, v) = (-1, –1), where f(x, y, z) = x³ + yz?, x = u? + v, y = u + v², z = uv 12. af/as at (r, s) = (1,0), where f(x, y) = In(xy), x = 3r + 2s, y = 5r + 3s 13. дg/20 x =r cos 0, y =r sin0 (r,0) = (2/2, ), g(x, y) = 1/(x + y?), at where %3D 14. dg/ds at s = 4, where g(x, y) = x2 – y², x = s² + 1, y =1– 2s 15. ag/au at (u, v) = (0, 1), where g(x, y) = x² – y², x = e" cos v, y = e" sin v Әh 16. at (q,r) = (3,2), where h(u, v) = ue", u = q³, v = qr? дq

11. af/ðu and af/av at (u, v) = (-1, –1), where f(x, y, z) = x³ + yz?, x = u? + v, y = u + v², z = uv 12. af/as at (r, s) = (1,0), where f(x, y) = In(xy), x = 3r + 2s, y = 5r + 3s 13. дg/20 x =r cos 0, y =r sin0 (r,0) = (2/2, ), g(x, y) = 1/(x + y?), at where %3D 14. dg/ds at s = 4, where g(x, y) = x2 – y², x = s² + 1, y =1– 2s 15. ag/au at (u, v) = (0, 1), where g(x, y) = x² – y², x = e" cos v, y = e" sin v Әh 16. at (q,r) = (3,2), where h(u, v) = ue", u = q³, v = qr? дq

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Description: In Exercises 11-16, use the Chain Rule to evaluate the partial derivativeat the point specified. 11. af/ðu and af/av at (u, v) = (-1, –1), where f(x, y, z) = x³ + yz?,x = u? + v, y = u + v², z = uv12. af/as at (r, s) = (1,0), where f(x, y) = In(xy),

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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