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(ii)
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minute. The graph shows the rate at which letters arrived at the post
office and were dumped into this sorter.
When did letters start to pile up?
When was the pile the biggest?
How big was it then?
At about what time did the pile vanish?
Let R represent the region bounded by y = sin x and y = x^4 . Find:
the area of R;
the volume of the solid whose base is R, if all cross sections
perpendicular to the x-axis are isosceles triangles with height 3;
the volume of the solid formed when R is rotated around the x-axis.
The town of East Newton has a water tower whose tank is an ellipsoid,
formed by rotating an ellipse about its minor axis. Since the tank is 20
feet tall and 50 feet wide, the equation of the ellipse is .
If there are 7.48 gallons of water per cubic foot, what is the capacity
of this tank to the nearest thousand gallons?
East Newton imposes water rationing whenever the tank is only
one-quarter full. Write an equation to find the depth of the water in
the tank when rationing becomes necessary? (Do not solve.)
