Questions from General Calculus


Q: A graph of the temperature in Boston on August 11, 2013

A graph of the temperature in Boston on August 11, 2013, is shown. Use Simpson’s Rule with n = 12 to estimate the average temperature on that day.

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Q: A radar gun was used to record the speed of a runner

A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use Simpson’s Rule to estimate the distance the runner covered during those...

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Q: The graph of the acceleration a(t) of a car

The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson’s Rule to estimate the increase in the velocity of the car during the 6-second time interval.

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Q: Water leaked from a tank at a rate of r(t

Water leaked from a tank at a rate of r(t) liters per hour, where the graph of r is as shown. Use Simpson’s Rule to estimate the total amount of water that leaked out during the firs...

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Q: The table (supplied by San Diego Gas and Electric) gives

The table (supplied by San Diego Gas and Electric) gives the power consumption P in megawatts in San Diego County from midnight to 6:00 am on a day in December. Use Simpson’s Rule to...

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Q: Find a power series representation for the function and determine the radius

Find a power series representation for the function and determine the radius of convergence.

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Q: Shown is the graph of traffic on an Internet service provider’s T1

Shown is the graph of traffic on an Internet service provider’s T1 data line from midnight to 8:00 am. D is the data throughput, measured in megabits per second. Use Simpsonâ&#...

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Q: Use Simpson’s Rule with n = 8 to estimate the volume of

Use Simpson’s Rule with n = 8 to estimate the volume of the solid obtained by rotating the region shown in the figure about (a) the x-axis and (b) the y-axis.

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Q: The table shows values of a force function f(x),

The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons. Use Simpson’s Rule to estimate the work done by the force in moving an object a di...

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Q: The region bounded by the curve y = 1/(1+

The region bounded by the curve y = 1/(1+e-x) the x- and y-axes, and the line x = 10 is rotated about the x-axis. Use Simpson’s Rule with n = 10 to estimate the volume of the resulting solid.

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