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A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 4 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). r(t) = (b) If V is the volume of the balloon as a function of the radius, find V o r. (Vor)(t) = Interpret the answer found in part (b). O This formula gives the volume of the balloon (in cm³) as a function of time (in seconds). O This formula gives the amount of time (in seconds) the balloon has been inflating as a function of V.

A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 4 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). r(t) = (b) If V is the volume of the balloon as a function of the radius, find V o r. (Vor)(t) = Interpret the answer found in part (b). O This formula gives the volume of the balloon (in cm³) as a function of time (in seconds). O This formula gives the amount of time (in seconds) the balloon has been inflating as a function of V.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 4 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). r(t) = (b) If V is the volume of the balloon as a function of the radius, find V o r. (Vor)(t) = Interpret the answer found in part (b). O This formula gives the volume of the balloon (in cm³) as a function of time (in seconds). This formula gives the amount of time (in seconds) the balloon has been inflating as a function of V.
Transcribed Image Text:A spherical balloon is being inflated and the radius of the balloon is increasing at a rate of 4 cm/s. (a) Express the radius r of the balloon as a function of the time t (in seconds). r(t) = (b) If V is the volume of the balloon as a function of the radius, find V o r. (Vor)(t) = Interpret the answer found in part (b). O This formula gives the volume of the balloon (in cm³) as a function of time (in seconds). This formula gives the amount of time (in seconds) the balloon has been inflating as a function of V.
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