Question #345338

The base of a rectangle is changing at the rate of 3 in/min. If its height remains constant, determine the rate of change of its perimeter with respect to time.


1
Expert's answer
2022-05-27T15:05:18-0400

Let x=x= the base of a rectangle, h=h= the height of a rectangle.


P=2x+2hP=2x+2h

Differentiate with respect to tt


dP/dt=2dx/dt+0dP/dt=2dx/dt+0

Given that the base of a rectangle is changing at the rate of 3 in/min.

Then the perimeter of a rectangle is changing at the rate of 6 in/min.



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