d.) Again, if the reservoir is empty at midnight and water flows in at a constant rate of 100 gallons per hour, then there will not be enough water available to serve the town during this 24-hour period.When does the water shortage begin? at t=hours after midnighte.) Again, if water flows in at a constant rate of 100 gallons per hour, what is the smallest amount of water needed in the reservoir at midnight so that the town gets all the water it needs during this 24-hour period? (HINT: How could you change the Inflow graph so that there is never a shortage?)gallons A town is using water from a reservoir that is being refilled with a system of aqueducts. The graph below shows the total water drawn from the reservoir over the course of a typical day, starting atmidnight.total water usage (gallons)500045004000350030002500200015001000500j tij.+||0+to+THHHHH †‡· ↓↓ ++ |▬▬▬ ▬▬▬▬▬1 2 3 4 5 6 7 8910 11 12 13 14 15 16 17 18 19 20 21 22 23 24hours after midnight

(d) Based on the graph, we can see that the reservoir starts emptying at a constant rate of 40…

Answered: A town is using water from a reservoir…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

Employment. According to the U.S. Bureau of Labor Statistics, the number of professional services employees fluctuated during the period 2000-2009, as modeled by E(t) = -28.31t³ +381.86t² - 1162.07t + 16,905.87, where t is the number of years since 2000 (t = 0 corresponds to 2000) and E is thousands of employees. (Source: www.data.bls.gov.) Find the relative extrema of this function, and sketch the graph. Interpret the meaning of the relative extrema.
Write an equation for the function graphed below 5+ 4 3- 2 1+ -7 -6 -5 -4 -3 -2 -1 -1 1 23 4 6 7 -2 -3+ -4- -5+ y%3D 5.
In 2005 the average annual and fees for attending a private college or university was $22000. This cost rose to about $36000 in 2015, as illustrated in the graph. Complete parts a and b
Degrees Earned The number of postsecondarydegrees earned, in thousands (including associate’s,bachelor’s, master’s, first professional, and doctoral degrees), can be modeled by y = 3.980x2 -17.597x + 2180.899, where x is the number of yearsafter 1990. If this model is accurate, during what yearsfrom 1990 on would the number of postsecondarydegrees earned be less than 3500 thousand?
Suppose that the number of tee shirts sold (N) depends linearly on the price charged (x). Write an equation showing this dependence.
The marching band at a local high school is selling candy bars. The profits will go toward the purchase of new marching band uniforms. They are interested in knowing what price they should charge to obtain the maximum profit. The candy bars are donated by a local retailer so they know that if they charge $0 they will make $0 profit. They also collect data from other marching bands who have sold candy bars in the past. The data they collected is shown in the table below. Price 0.00 0.45 0.60 0.75 1.00 1.25 1.40 1.50 Profit 0.00 $720 $900 $990 $845 $625 $560 $300 What factors might influence how much is to be made from the candy sale? Give at least two. What happens to the profit as the price of each candy bar increases? Explain possible reasons for your observations. How do you suppose the other bands determined the price at which to sell each candy bar? Do any data values seem unusual? Yes or…
The table shows the number of adult softball teams since 1990, where x represents the year since 2000 and y represents the number of teams (in thousands). Make a scatter plot of the data and determine which type of model best fits the data. Year, x 0 1 2 3 4 Number of teams (in thousands) 163 155 149 143 119 linear quadratic exponential cubic

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