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The formula for the volume of a sphere is S = where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. ds ds 1. where t is time in minutes. Use the chain rule, 16 dr to find the rate at which the snowball is melting. dt (a) Supposer = (t + 1)2 dt dr ds dt (b) Use the results from part (a) to find the rate (in ft/min) at which the volume is changing at t = 1 min. (Round your answer to four decimal places.) | ft³/min

The formula for the volume of a sphere is S = where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. ds ds 1. where t is time in minutes. Use the chain rule, 16 dr to find the rate at which the snowball is melting. dt (a) Supposer = (t + 1)2 dt dr ds dt (b) Use the results from part (a) to find the rate (in ft/min) at which the volume is changing at t = 1 min. (Round your answer to four decimal places.) | ft³/min

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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The formula for the volume of a sphere is S = where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. ds ds 1. where t is time in minutes. Use the chain rule, 16 dr to find the rate at which the snowball is melting. dt (a) Supposer = (t + 1)2 dt dr ds dt (b) Use the results from part (a) to find the rate (in ft/min) at which the volume is changing at t = 1 min. (Round your answer to four decimal places.) | ft³/min
Transcribed Image Text:The formula for the volume of a sphere is S = where r (in feet) is the radius of the sphere. Suppose a spherical snowball is melting in the sun. ds ds 1. where t is time in minutes. Use the chain rule, 16 dr to find the rate at which the snowball is melting. dt (a) Supposer = (t + 1)2 dt dr ds dt (b) Use the results from part (a) to find the rate (in ft/min) at which the volume is changing at t = 1 min. (Round your answer to four decimal places.) | ft³/min
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