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10) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast is the radius of the balloon increasing when the diameter is 50 cm? 11) A company that manufactures sport supplements calculates that its costs and

10) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast is the radius of the balloon increasing when the diameter is 50 cm? 11) A company that manufactures sport supplements calculates that its costs and

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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8) Find the equation of the line tangent to the graph of f(x) =x - at the point where x = 1. 9) Find the point(s), if any, where the graph has a horizontal tangent for f(<) = - 3x 3x2 10) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast is the radius of the balloon increasing when the diameter is 50 cm? 11) A company that manufactures sport supplements calculates that its costs and demand functions can be modeled by the equations C = 125,000 + .75x and p = 250 – 7* where x is the number of units of sport supplements produced in 1 week. If production in one particular week is 1,000 units and is increasing at a rate of 150 units per week, find the rate at which the profit is increasing.
Transcribed Image Text:8) Find the equation of the line tangent to the graph of f(x) =x - at the point where x = 1. 9) Find the point(s), if any, where the graph has a horizontal tangent for f(<) = - 3x 3x2 10) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast is the radius of the balloon increasing when the diameter is 50 cm? 11) A company that manufactures sport supplements calculates that its costs and demand functions can be modeled by the equations C = 125,000 + .75x and p = 250 – 7* where x is the number of units of sport supplements produced in 1 week. If production in one particular week is 1,000 units and is increasing at a rate of 150 units per week, find the rate at which the profit is increasing.
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