Question

3. Water usage rate for Seattle in a given 24-hour period is represented in the table and graph below. Time is measure in hours and the rate of water usage is measured in millions of gallons per hour.
0 2 4 6 8 10 12 14 16 18 20 22 24
0.5 0.6 0.9 1.3 1.7 1.5 1.3 1.4 1.5 1.4 1.1 0.7 0.5
A. Using three trapezoids of equal width, estimate . Explain the physical meaning of this definite integral.








B. Does the estimate in part A overestimate or underestimate the value of on the interval 0<=t<=8? Explain your reas
c. Using the answer from Part A, estima

Answer 1

c. Using the answer from Part A, estimate the average water usage over the 24 hour period.

Answer 2

It is not like a test, its just simply practice question asked by my teacher, but I need to know how to solve them..

Answer 3

amistre64

Answer 4

Thank you..

Answer 5

@amistre64 is a proper tag :)

Answer 6

Oh sorry haha. Anyways thanks. As I have said above this is not a test nor homework. Just practice..

Answer 7

how much do you know about what they are asking for to begin with?

Answer 8

oh the blank means integral 0-24 rate(t)dt

Answer 9

Well I have solved the question for B that it would be overestimating since it is sloping upward.

Answer 10

But for A, I am not sure how I would be able to divide these numbers into three trepezoid and using this to estimate the area. I guess the physical meaning would be the water usage in an hour given time period.

Answer 11

without a picture of the graph, i would not be able to verify ifits an over or under

Answer 12

So I guess C would be really closely related to A which I am stuck on. Oh I have the table above.

Answer 13

Most importantly, I have no clue what the slope would be at t=12. (One of possible questions.) I can estimate that it would be positive, but nothing else.