Consider the functions z = -2e" In y, x = In (u cos v), and y = u sin v. dz dz (a) Express and du as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating. dz dz (b) Evaluate and du - at (u,v) = z= - 2u cos v In (u sin v) dz du Using either method, = -2 cos v In (u sin v) - 2 cos v. (Type an expression using u and v as the variables.) dz Find each partial derivative needed to use the Chain Rule to find dz -= -2 e* In y xp -= - tan v - 2 ex dy = u cos v dz %3D dy y dv dz 2u cos v Using either method, = 2u sin v In (u sin v) dv sin v - (Type an expression using u and v as the variables.) dz (b) -2.936 (Type an exact answer.) Enter your answer in the answer box and then click Check Answer.
Consider the functions z = -2e" In y, x = In (u cos v), and y = u sin v. dz dz (a) Express and du as functions of u and v both by using the Chain Rule and by expressing z directly in terms of u and v before differentiating. dz dz (b) Evaluate and du - at (u,v) = z= - 2u cos v In (u sin v) dz du Using either method, = -2 cos v In (u sin v) - 2 cos v. (Type an expression using u and v as the variables.) dz Find each partial derivative needed to use the Chain Rule to find dz -= -2 e* In y xp -= - tan v - 2 ex dy = u cos v dz %3D dy y dv dz 2u cos v Using either method, = 2u sin v In (u sin v) dv sin v - (Type an expression using u and v as the variables.) dz (b) -2.936 (Type an exact answer.) Enter your answer in the answer box and then click Check Answer.
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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