2.The width of a rectangle is increasing at a rate of 8 inches per second and its length is increasing at the rate of 4 inches per second. At what rate is the area of the rectangle increasing when its width is 5 inches and its length is 9 inches? [Hint: Let W(t) and L(t) be the width and length, respectively, at time t.] The rate that the area of the rectangle is increasing is in2/s. (Simplify your answer.)

2.The width of a rectangle is increasing at a rate of 8 inches per second and its length is increasing at the rate of 4 inches per second. At what rate is the area of the rectangle increasing when its width is 5 inches and its length is 9 inches? [Hint: Let W(t) and L(t) be the width and length, respectively, at time t.] The rate that the area of the rectangle is increasing is in2/s. (Simplify your answer.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 5T

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Question

2.The width of a rectangle is increasing at a rate of

inches per second and its length is increasing at the rate of

inches per second. At what rate is the area of the rectangle increasing when its width is

inches and its length is

inches? [Hint: Let

W(t)

and

L(t)

be the width and length, respectively, at time t.]

The rate that the area of the rectangle is increasing is

in2/s.

(Simplify your answer.)

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