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Use the trapezoidal rule with n= 4 to estimate the value of
2
0
x2dx
Suppose that in the United States the rate of change of the percentage of workers who
belong to unions can be modeled by dy
dx = 0.15(0.2x+3)2– 1.4(0.2x+ 3), where x is the
number of years after 1940. Find y.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Suppose that the accompanying table shows the velocity of a car every second for 8 seconds. Use
the Trapezoidal Rule to approximate the distance traveled by the car in the 8 seconds.
Time (sec) Velocity (ft/sec)
016
117
218
320
419
521
618
716
817
A surveyor measured the length of a piece of land at 100–ft intervals (x), as shown in the table. Use
Simpson’s Rule to estimate the area of the piece of land in square feet.
xLength (ft)
050
100 60
200 80
300 55
400 50