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1. Find the area between the graph f(x) = 10x -x and g(x) = 3x -8 (you can use graphic utility to verify your graph).

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1. Find the area between the graph f(x) = 10x -x and g(x) = 3x -8 (you can use graphic utility to verify your graph). 2. Find the volume of a solid generated by revolving the region bounded by the graphs of f(x) = x- and g(x) = 12 - x to the right of x = 1about they - axis (You can use graphic utility to verify your graph). 3. A force of 40 Newton is required to hold a spring that has stretched from its natural length of 10 cm to a length of 15 cm. How much work is done in stretching the spring from 15 cm to 18 cm (W = Fd, where W-work, F-the force, and d-distance, in Joules, Newton, and Meters respectively) 4. Evaluate J tan*(x) . sec*(x)dx 5. Evaluate J e* sin(x)dx

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