13.51. Let z = In (2x + y) with x = Vt and y = t. Use the chain rule to find%3D2. Let z = V1+x- 2xy with x =In(t) and y = t. Use the chain rule to find3. Let w = 5x2y³z4 with x t2, y = t3 and z = t5. Use the chain rule to find dut2, y = t and z = t. Use the chain rule to findar4. Let w = 5 cos(xy)- sin(xz) with x , y = t and z = . Use the chain rule to find5. (Problem 30 section 13.5 page 957) Let w = 3xy2z, y 3x2 +2, z = Vx-1. Finddw13.61. Let z =3x*y, find Vz.2. Let w - 3x4+ 2y63+5z, find Vw at the point (3,3,1).3. Let f(x,y) = 2x²y3. Find Duf(1,2) if u = -5i- 12j.4. Find the rate of change of f(x,y) 2xy-x2y² at (1,1) in the direction of (3,0).

Name: 13.51. Let z = In (2x + y) with x = Vt and y = t. Use the chain rule
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Description: 13.51. Let z = In (2x + y) with x = Vt and y = t. Use the chain rule to find%3D2. Let z = V1+x- 2xy with x =In(t) and y = t. Use the chain rule to find3. Let w = 5x2y³z4 with x t2, y = t3 and z = t5. Use the chain rule to find dut2, y = t and z = t.

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Calculus

1. Let z = In(2x2 + y) with x = Vt and y = t. Use the chain rule to find

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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