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Y Suppose w = =+ where Y Z 5t, y = 2+ sin (4t), and z = 2 + cos (3t). x = e5t 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 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.

Y Suppose w = =+ where Y Z 5t, y = 2+ sin (4t), and z = 2 + cos (3t). x = e5t 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 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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