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Suppose w = + where x = e', y = 2 + sin(t), and z = 2 + cos(7t). A ) Use the chain rule to find dw as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite et as x. dt dw dt %3D 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 evaluate e when t = 0. dt

Suppose w = + where x = e', y = 2 + sin(t), and z = 2 + cos(7t). A ) Use the chain rule to find dw as a function of x, y, z, and t. Do not rewrite x, y, and z in terms of t, and do not rewrite et as x. dt dw dt %3D 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 evaluate e when t = 0. dt

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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Suppose w = ÷ + where x = e', y = 2+ sin(t), and z = 2 + cos(7t). A ) Use the chain rule to find 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 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 evaluate u when t = 0. dt
Transcribed Image Text:Suppose w = ÷ + where x = e', y = 2+ sin(t), and z = 2 + cos(7t). A ) Use the chain rule to find 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 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 evaluate u when t = 0. dt
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