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When a circular plate of metal is heated in an oven, it’s radius increases at a rate of 0.05 cm/min. At what rate is the plate’s area increasing when the radius is 58 cm?

When a circular plate of metal is heated in an oven, it’s radius increases at a rate of 0.05 cm/min. At what rate is the plate’s area increasing when the radius is 58 cm?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 2A: Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.
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When a circular plate of metal is heated in an oven, it’s radius increases at a rate of 0.05 cm/min. At what rate is the plate’s area increasing when the radius is 58 cm?
The rate of change of the area is cm²/min. (Type an exact answer in terms of x.)
Transcribed Image Text:The rate of change of the area is cm²/min. (Type an exact answer in terms of x.)
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