The area of a circle increases at a rate of 5 cm2 /s. a. How fast is the radius changing when the radius is 3 cm? b. How fast is the radius changing when the circumference is 4 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.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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The area of a circle increases at a rate of 5 cm /s.
a. How fast is the radius changing when the radius is 3 cm?
b. How fast is the radius changing when the circumference is 4 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 a as needed.)
When the radius is 3 cm, the radius is changing at a rate of
(Type an exact answer, using a as needed.)
b. When the circumference is 4 cm, the radius is changing at a rate of
(Type an exact answer, using n as needed.)
cm.
cm2 /s.
cm/s.
cm /s.
Transcribed Image Text:The area of a circle increases at a rate of 5 cm /s. a. How fast is the radius changing when the radius is 3 cm? b. How fast is the radius changing when the circumference is 4 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 a as needed.) When the radius is 3 cm, the radius is changing at a rate of (Type an exact answer, using a as needed.) b. When the circumference is 4 cm, the radius is changing at a rate of (Type an exact answer, using n as needed.) cm. cm2 /s. cm/s. cm /s.
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