0. A village wishes to measure the quantity of water that is piped to a factory
ID: 2887694 • Letter: 0
Question
0. A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line gives the flow rate (in cubic meters per hour) at any instant. The flow rate is about 100 m /hr at 6 am and increases steadily to about 280 m/hr at 9 am. (a) Using only this information, give your best estimate of the total volume of water used by the factory between 6 am and 9 am b) How often should the flow rate gauge be read to obtain an estimate of this volume to within 6 m3? 51 Suppose a function f(x) is graphed as below. 10 (a) Using just the figure, estimate(x) dr. (b) If you knew the function were given by the formulaf(x +3)(x-5), what 32 would the integral be? How far off is your graphical estimate? 20Explanation / Answer
50.
a)
V = (100+280)(3/2) = 570 m^3
If it increases "steadily" from 6 am to 9 am, then the average should work fine. (100+280)/2 should represent the average flow the entire time, which is 380/2 or 190 m^3/hr. 190 m^3/hr for 3 hrs. is 570 m^3 for the 3 hrs in question. The number you were coming up with was 380 m^3/hr. That's greater than the highest rate read (280 m^3/hr) and is therefore not plausible. so the answer is 570 m^3.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.