The area of a circle increases at a rate of 3 cm2 /s. a. How fast is the radius changing when the radius is 5 cm? b. How fast is the radius changing when the circumference is 2 cm? a. Write an equation relating the area of a circle, A, and the radius of the circle, r. (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dA dr dt dt (Type an exact answer, using n as needed.) When the radius is 5 cm, the radius is changing at a rate of (Type an exact answer, using t as needed.) b. When the circumference is 2 cm, the radius is changing at a rate of (Type an exact answer, using t as needed.)
The area of a circle increases at a rate of 3 cm2 /s. a. How fast is the radius changing when the radius is 5 cm? b. How fast is the radius changing when the circumference is 2 cm? a. Write an equation relating the area of a circle, A, and the radius of the circle, r. (Type an exact answer, using a as needed.) Differentiate both sides of the equation with respect to t. dA dr dt dt (Type an exact answer, using n as needed.) When the radius is 5 cm, the radius is changing at a rate of (Type an exact answer, using t as needed.) b. When the circumference is 2 cm, the radius is changing at a rate of (Type an exact answer, using t as needed.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The area of a circle increases at a rate of 3 cm2 /s.
a. How fast is the radius changing when the radius is 5 cm?
b. How fast is the radius changing when the circumference is 2 cm?
a. Write an equation relating the area of a circle, A, and the radius of the circle, r.
(Type an exact answer, using n as needed.)
Differentiate both sides of the equation with respect to t.
dA
dr
dt
dt
(Type an exact answer, using n as needed.)
When the radius is 5 cm, the radius is changing at a rate of
(Type an exact answer, using n as needed.)
b. When the circumference is 2 cm, the radius is changing at a rate of
(Type an exact answer, using n as needed.)
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