1. The base of a solid is the region in the x-y plane bounded by the...

1. The base of a solid is the region in the x-y plane bounded by the curve y= sq rt cos(x) and the x-axis on [-pi/2, pi/2] . The cross-sections of the solid perpendicular to the x-axis are isosceles right triangles with horizontal leg in the x-y plane and vertical leg above the x-axis. What is the volume of the solid?

2. Let E be the solid generated by revolving the region between y=x^3 and y= sr rt (x) about the vertical line x=-1. What variable(s) must one integrate with respect to in order to compute the volume of E when using the Washer Method versus the Shell Method? A, B, C, D,or E? A. For both methods integrate with respect to x. B. For both methods integrate with respect to y. C. Integrate with respect to x for the Washer Method and y for the Shell Method. D. Integrate with respect to y for the Washer Method and x for the Shell Method. E. None of the above.

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Expert Solution

Answer for #2 is option D which is explained using sketch below.

here is all the work,

milcah answered 1 year ago

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