Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer.
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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I am asking for question #2 please
Transcribed Image Text: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.
t (hours)
R(t) (gallons per hour)
0
2. Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer.
1.95
2
2.5
3
2.8
7
4
8
4.26
1. Use a trapezoidal sum with the four sub-intervals indicated by the data in the table to estimate JR(t) dt. Using correct units, explain the meaning of your
answer in terms of water flow. Give 3 decimal places in your answer.
0
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