x Y Suppose w = + where Z Y x = t, y = 2 + sin (4t), and z = 2 + cos (3t). A) Use the chain rule to find d as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite est as x. du = 0 Note: You may want to use exp() for the exponential function. Your answer should be an expression in x, y, z, and t; e.g. "3x - 4y" B) Use part A to evaluated 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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Question
X Y
Suppose w = + where
Y
2
5t
x = e5 t, y = 2 + sin (4t), and z = 2 + cos (3t).
A) Use the chain rule to find d as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite est as x.
dw
dt
Note: You may want to use exp() for the exponential function. Your answer should be an expression in x, y, z, and t; e.g. "3x - 4y"
B) Use part A to evaluated when t = 0.
=
Transcribed Image Text:X Y Suppose w = + where Y 2 5t x = e5 t, y = 2 + sin (4t), and z = 2 + cos (3t). A) Use the chain rule to find d as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite est as x. dw dt Note: You may want to use exp() for the exponential function. Your answer should be an expression in x, y, z, and t; e.g. "3x - 4y" B) Use part A to evaluated when t = 0. =
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