Solve the problem. Round your answer, if appropriate. As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 8 cm x 6 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.5 cm/s and the width of the image is changing at 0.1 cm/s.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 44A
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Solve the problem. Round your answer, if appropriate.
As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current
image is 8 cm x 6 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is
changing at 0.5 cm/s and the width of the image is changing at 0.1 cm/s.
Transcribed Image Text:Solve the problem. Round your answer, if appropriate. As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 8 cm x 6 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.5 cm/s and the width of the image is changing at 0.1 cm/s.
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