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    Harvard university
    Feb-1997 - Aug-2003

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Category > Calculus Posted 10 Jul 2017 My Price 5.00

Questions 1—3

Use the following information for Questions 1—3: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table below gives the rate as measured at
various times in an 8-hour time period. 1 (hours) 0 2 3 7 B R(t) (gallons per hour) 1.95 2.5 2.8 4 4.26 a
1. Use a trapezoidal sum with the four sub-intervals indicated by the data in the table to estimate [R(t) dt. Using correct units, explain the meaning of your
0 answer in terms of water flow. Give 3 decimal places in your answer.
2. Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer. 3. The rate of water flow R(t) can be estimated by W(t) = |n(t2 + 7). Use W(t) to approximate the average rate of water flow during the 8-hour time period.
Indicate units of measure. Use the following information for Questions 4 and 5. fis a continuous function with a domain [—3, 9] such that 3, —3$x<0
fur): ~10, 05:56
~3, 6<xs9 and let g(x)= if(t)dt.
-2 4. On what interval is 9 increasing? Justify your answer. 5. For 0 s x S 6, express g(x) in terms of x. Do not include +0 in your final answer.

Answers

SuperTutor
(15)
Status NEW Posted 10 Jul 2017 01:07 AM My Price 5.00

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