32. The formula of the volume of a sphere is S =r³, where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. a. Suppose r = TEDZ - where t is time in minutes. Use the chain rule ds dr to dr dt (t+1) 2 12 dt find the rate at which the snowball is melting. b. Use a. to find the rate at which the volume is changing at t = 1 min.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
32. The formula of the volume of a sphere is S = ar³, where r (in feet) is the radius of
the sphere. Suppose a spherical snowball is melting in the sun.
as dr
to
dr dt
ds
a. Suppose r =:
(t+1) 2
where t is time in minutes. Use the chain rule
dt
12
find the rate at which the snowball is melting.
b. Use a. to find the rate at which the volume is changing at t = 1 min.
II
Transcribed Image Text:32. The formula of the volume of a sphere is S = ar³, where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. as dr to dr dt ds a. Suppose r =: (t+1) 2 where t is time in minutes. Use the chain rule dt 12 find the rate at which the snowball is melting. b. Use a. to find the rate at which the volume is changing at t = 1 min. II
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