Question

The width of a rectangle is increasing at a rate of 9 inches per second and its length is increasing at the rate of 5 inches per second. At what rate is the area of the rectangle increasing when its width is 3 inches and its length is 6 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.)

          The width of a rectangle is increasing at a rate of 9 inches per second and its length is increasing at the rate of 5 inches per second. At what rate is the area of the rectangle increasing when its width is 3 inches and its length is 6 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.)

The width of a rectangle is increasing at a rate of 9 inches per second and its length is increasing at the rate of 5 inches per second. At what rate is the area of the rectangle increasing when its width is 3 inches and its length is 6 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.)

Added by Josefa M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Manisha Sarker

01/10/2022

Step 1

Step 1: Write down the given information: - Width increasing rate: 9 inches per second - Length increasing rate: 5 inches per second - Width at the given time: 3 inches - Length at the given time: 6 inches Show more…

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The width of a rectangle is increasing at a rate of 9 inches per second and its length is increasing at the rate of 5 inches per second. At what rate is the area of the rectangle increasing when its width is 3 inches and its length is 6 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.)