When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm / min. At what rate is the plate's area increasing when the radius is 54 cm? Write an equation relating the area of the circular plate, A, and the radius, r. Differentiate both sides of the equation with respect to t. dA dr (Type an expression using r as the variable.) dt The rate of change of the area is (Type an exact answer in terms of T.)

When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm / min. At what rate is the plate's area increasing when the radius is 54 cm? Write an equation relating the area of the circular plate, A, and the radius, r. Differentiate both sides of the equation with respect to t. dA dr (Type an expression using r as the variable.) dt The rate of change of the area is (Type an exact answer in terms of T.)

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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.4: Composition Of Functions

Problem 94SE: A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius...

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