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A rectangle initially has dimensions 6 cm by 8 cm. All sides begin increasing in length at a rate of 4 cm/s. At what rate is the area of the rectangle increasing after 18 s? Let A, b, and h be the area, base, and height of a rectangle, respectively. Write an equation relating A, b, and h. Differentiate both sides of the equation with respect to t. C After 18 s, the area of the rectangle is increasing at a rate of 56 cm²/s.

A rectangle initially has dimensions 6 cm by 8 cm. All sides begin increasing in length at a rate of 4 cm/s. At what rate is the area of the rectangle increasing after 18 s? Let A, b, and h be the area, base, and height of a rectangle, respectively. Write an equation relating A, b, and h. Differentiate both sides of the equation with respect to t. C After 18 s, the area of the rectangle is increasing at a rate of 56 cm²/s.

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.184TI: The force needed to break a board varies inversely with its length. Richard uses 24 pounds of...
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A rectangle initially has dimensions 6 cm by 8 cm. All sides begin increasing in length at a rate of 4 cm/s. At what rate is the area of the rectangle increasing after 18 s? Let A, b, and h be the area, base, and height of a rectangle, respectively. Write an equation relating A, b, and h. Differentiate both sides of the equation with respect to t. After 18 s, the area of the rectangle is increasing at a rate of 56 cm²/s.
Transcribed Image Text:A rectangle initially has dimensions 6 cm by 8 cm. All sides begin increasing in length at a rate of 4 cm/s. At what rate is the area of the rectangle increasing after 18 s? Let A, b, and h be the area, base, and height of a rectangle, respectively. Write an equation relating A, b, and h. Differentiate both sides of the equation with respect to t. After 18 s, the area of the rectangle is increasing at a rate of 56 cm²/s.
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