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Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin.
1) Determine the volume of the solid of revolution formed when R is revolved about the x-axis.
2) Use the washer method (and no other method) to dertermine the volume of the solid of revolution formed when R is revolved about the line x=7.
3) Use the cylindrical shell method (and no other method) to dertermine the volume of the solid of revolution formed when R is revolved about the line x=7.
We have defined space X to be contractible in two ways: Show that these two definitions are equivalent.
Trigonometric identities to find length of the guy wire.
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Two friends Dave and Pete often play squash and tennis together. Over the years, they have found that Dave wins 3 out of every 5 rounds of squash and 1 out of every 4 tennis matches
Calculate the probability that the rent of a randomly selected unit.
Calculate the mean for the grouped data.
A baseball manager has decided who his 5 starting hitters are to be, but not the order in which they will bat. How many possibilities are there?
Two planes left an airport at noon. one flew east at a certain speed and the other flew west at twice the speed. The planes were 2700 mi. apart in 3 hours. how fast was each plane flying?
Plot a histogram of the variable age. Include an appropriate title to your histogram. Explain the plot.
Compute the Wronskian of the given set of functions, then determine whether the function is linearly dependent or linearly independent: x^2 - x, x^2 + x, x^2, all x
The gas law for a fixed mass m of an ideal gas at absolute temperature T, pressure P, and volume V is PV=mRT, where R is the gas constant. Show that
A can company reports that there were 3 breakdowns on its machine operator assembly line in the last thirty days. What is the probability that there will be more than two breakdowns tomorrow
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