When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm / min. At what rate is the plate's area increasing when the radius is 55 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 (1) (Type an exact answer in terms of t.) (1) cm2/min cm cm/min

When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.04 cm / min. At what rate is the plate's area increasing when the radius is 55 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 (1) (Type an exact answer in terms of t.) (1) cm2/min cm cm/min

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...

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