John D.

asked • 11/25/16# Differentiate with respect to time

A turkey can run faster than it can fly backwards. Thus, it's position equation is represented by 2x+y=3. Differentiate with respect to time and find how fast it's changing when it's x is increasing at 1 meter per second.

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## 1 Expert Answer

Roger N. answered • 11/25/16

Tutor

4.9
(83)
. BE in Civil Engineering . Senior Structural/Civil Engineer

This is an implicit differentiation problem

Differentiate wrt to t , d/dt(2x+y)=d/dt(3), 2x' + y' = 0 , y'=-2 x'

and x' is the rate of change of distance wrt to time x' = dx/dt, 1 m/sec , y' = dy/dt = -2(1 m/sec) = -2 m/sec

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Arturo O.

11/25/16