5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. dr A. Find an expression for the rate at which the radius of the balloon is increasing. dt B. How fast is the radius of the balloon increasing when the diameter is 40 cm? C. How fast is the surface area of the balloon increasing when the radius is 5 cm?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 2TU: Use the table of values you made in part 4 of the example to find the limiting value of the average...
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5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second.
dr
the rate at which the radius of the balloon is increasing.
dt
A. Find an expression for
B. How fast is the radius of the balloon increasing when the diameter is 40 cm?
C. How fast is the surface area of the balloon increasing when the radius is 5 cm?
Transcribed Image Text:5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. dr the rate at which the radius of the balloon is increasing. dt A. Find an expression for B. How fast is the radius of the balloon increasing when the diameter is 40 cm? C. How fast is the surface area of the balloon increasing when the radius is 5 cm?
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