Findithe average rate of change of the given function on the interval 2,6.h(r)= 4x +6x - 7Enter your answer as a reduced improper fraction, if necessary.Provide your answer below.Content attribution Given the graph of the function f(z) below, what is the absolute minimum value of f(z)?41-2-15.9.78.-1-23-4Give just the value as your answer.Provide your answer below

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Answered: Find the average rate of change of the…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 2E

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The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by s(t) = −0.18t2 + 3t + 15 gallons per year (0 ≤ t ≤ 10), where t is the time in years since the start of 2000.† After conducting a survey of sales in your state, you estimate that consumption in gyms accounts for a fraction f(t) =√0.2 + 0.04t of all bottled water consumed in year t. Assuming that your model is correct, estimate, to the nearest gallon, the total amount of bottled water consumed per capita in gyms from the start of 2008 to the start of 2010. HINT [Rate of consumption = s(t)f(t).] ____________ gal
The rate of U.S. per capita sales of bottled water for the period 2000–2010 can be approximated by s(t) = −0.18t2 + 3t + 15 gallons per year (0 ≤ t ≤ 10), where t is the time in years since the start of 2000.† After conducting a survey of sales in your state, you estimate that consumption in gyms accounts for a fraction f(t) = 0.2 + 0.04t of all bottled water consumed in year t. Assuming that your model is correct, estimate, to the nearest gallon, the total amount of bottled water consumed per capita in gyms from the start of 2004 to the start of 2010. HINT [Rate of consumption = s(t)f(t).]
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A reservoir, discharging water through sluices at the depth h feet below the water surface, has asurface area A for various values of h as given below: h (ft)1011121314 A (in sq ft)9501070120013501530 if t denotes time in minutes, the rate of fall of the surface is given byEstimate the time taken for the water level to fall from 14 to 10 feet above the sluices

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Find the average rate of change of the given function on the interval 2,6. h(r) = 4z + 6z- 7 Enter your answer as a reduced improper fraction, if necessary. Provide your answer below.