Suppose w=x/y+y/z, where x=e^(4t), y=2+sin⁡(4t), and z=2+cos⁡(3t). A ) Use the chain rule to find dw/dt as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e^(4t) as x. dw/dt=? B ) Use part A to evaluate dw/dt when t=0.

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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Suppose w=x/y+y/z, where
x=e^(4t), y=2+sin⁡(4t), and z=2+cos⁡(3t).

A ) Use the chain rule to find dw/dt as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite e^(4t) as x.

dw/dt=?

B ) Use part A to evaluate dw/dt when t=0.

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