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Directions: Solve all problems. Show your work on this paper, scan your work into a single PDF file (name your file: lastnameExam4.PDF)
1. Find the indefinite integral .
2. Find the area of the region bounded by the graphs of the equations . Round your answer to the nearest whole number.
3. The volume V in liters of air in the lungs during a five-second respiratory cycle is approximated by the model where t is the time in seconds. Approximate the average volume of air in the lungs
during one cycle. Round your answer to four decimal places.
4. Find given .
a.
b.
c.
d. e.
mailto:bill.schwendner@uconn.edu
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5. Find the indefinite integral .
6. Find the indefinite integral .
7. The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral using
geometric formulas.
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8. Determine the area of the given region.
9. Find the indefinite integral.
10. Evaluate the definite integral.
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11. Find if .
12. Suppose the demand equation for a product is . Find the average price p on the interval .
Round your answer to the nearest dollar.
13. The rate of change of an income flow is given by the function ????(????) = 20 ????????
. If the rate is given by ???? = 3%, find ????????(4).
