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Calculus to find volume

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1. direction: Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.

y=2/x, y=-x+3 ( note: the 2 is over a fraction bar and the x is the

2. Solve the problem.

An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve y=1-x to the 2 power(or 2 squared )divided by 4, -2 less than or equal to x less than or equal to 2. How many cubic feet of fuel will the tank hold to the nearest cubic foot?

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This provides two examples of using calculus to find volume.

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