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(Solved): Suppose w=(x)/(y)+(y)/(z), where x=e^(5t),y=2+sin(5t), and z=2+cos(7t). Use the chain rule to find ( ...



Suppose

w=(x)/(y)+(y)/(z)

, where

x=e^(5t),y=2+sin(5t)

, and

z=2+cos(7t)

. 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^(5t)

as

x

.

(dw)/(dt)=

Note: Your answer should be an expression in

x,y,z

, and

t

, e.g. "3x-4y+2t" Use part 1. to evaluate

(dw)/(dt)

when

t=0

.



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