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.
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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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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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