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Let z = 3x*y, find Vz.

Let z = 3x*y, find Vz.

Calculus: Early Transcendentals
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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13.6

13.5 1. Let z = In (2x + y) with x = Vt and y = t. Use the chain rule to find %3D 2. Let z = V1+x- 2xy with x = In(t) and y = t. Use the chain rule to find 3. Let w = 5x2y³z4 with x t2, y = t3 and z = t5. Use the chain rule to find du t2, y = t and z = t. Use the chain rule to find ar 4. Let w = 5 cos(xy)- sin(xz) with x , y = t and z = . Use the chain rule to find 5. (Problem 30 section 13.5 page 957) Let w = 3xy2z, y 3x2 +2, z = Vx-1. Find dw 13.6 1. 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).
Transcribed Image Text:13.5 1. Let z = In (2x + y) with x = Vt and y = t. Use the chain rule to find %3D 2. Let z = V1+x- 2xy with x = In(t) and y = t. Use the chain rule to find 3. Let w = 5x2y³z4 with x t2, y = t3 and z = t5. Use the chain rule to find du t2, y = t and z = t. Use the chain rule to find ar 4. Let w = 5 cos(xy)- sin(xz) with x , y = t and z = . Use the chain rule to find 5. (Problem 30 section 13.5 page 957) Let w = 3xy2z, y 3x2 +2, z = Vx-1. Find dw 13.6 1. 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).
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