Note t 0 corresponds to midnight Time is measure in hours and the rate of water usage is measured in millions of gallons per

Question

Note t 0 corresponds to midnight Time is measure in hours and the rate of water usage is measured in millions of gallons per hour Rate millions of gallons hour Time 0 Rate 0 5 1 70 1 55 1 40 1 25 1 10 0 95 0 80 0 65 0 50 0 00 2 0 6 4 0 9 4 00 6 8 1 3 1 7 10 12 14 16 18 20 22 24 1 5 1 3 1 4 1 5 1 4 1 1 0 7 0 5 Water Usage Rate for Seattle WA Over 24 Hours 8 00 12 00 Time hours 16 00 20 00 24 00 24 A Using three trapezoids of equal width estimate frate t dt Explain the physical meaning of fratel t dt this definite integral B Does the estimate in part A overestimate or underestimate the value of frate t dt on the interval 0 t 8 Explain your reasoning a C Using your answer from part A estimate the average water usage over the 24 hour period

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