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Asked Oct 14, 2019
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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
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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

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Expert Answer

Step 1

Given a circular plate is heated in an oven such that its radius (r) increases at a rate of 0.04 cm/min that is

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dr = 0.04 dt

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Step 2

The equation relating the area A, and the radius r is

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Area of plate (A) = nr

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Step 3

Differentiating both side of ...

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dA dr = 277r dt dt

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