The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a rate of 2 cm/s. When /= 15 cm and w = 8 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
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The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a rate of 2 cm/s.
When /= 15 cm and w = 8 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals
of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
Transcribed Image Text:The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a rate of 2 cm/s. When /= 15 cm and w = 8 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
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