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Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz # (a) Express and 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. du dz dz (b) Evaluate and at (u,v) = - (7.7). du Əv dz (a) Find each partial derivative needed to use the Chain Rule to find du dx - en y -8 du e² ov du y 55 55 dz ax dy u sin v

Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz # (a) Express and 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. du dz dz (b) Evaluate and at (u,v) = - (7.7). du Əv dz (a) Find each partial derivative needed to use the Chain Rule to find du dx - en y -8 du e² ov du y 55 55 dz ax dy u sin v

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the functions z= - ex In y, x= In (u cos v), and yusin v. dz dz (a) Express and 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. ди Əv dz (b) Evaluate and at (u, v) = du dz Əv = (17.-17). (---)) dz (a) Find each partial derivative needed to use the Chain Rule to find du dz dx e In y dx du dz é dy du 一 y = - 16 = u sin v
Transcribed Image Text:Consider the functions z= - ex In y, x= In (u cos v), and yusin v. dz dz (a) Express and 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. ди Əv dz (b) Evaluate and at (u, v) = du dz Əv = (17.-17). (---)) dz (a) Find each partial derivative needed to use the Chain Rule to find du dz dx e In y dx du dz é dy du 一 y = - 16 = u sin v
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