Question

Sketch the region enclosed by the equations y = tan x, y 0, x= pi/4 ....

  1. Sketch the region enclosed by the equations y = tan x, y 0, x= pi/4 . Include a typical

    approximating rectangle. You may use Maple or other technology for this.

    a. Find/set-up an integral that could be used to find the area of the region in. Do not evaluate.   b. Set up an integral that could be used to find the volume of the solid obtained by rotating the region in #1 around the line x =pi/ 2 . Do not evaluate. c. Set up an integral that could be used to find the volume of the solid obtained by rotating the region in #1 around the line y = 0 . Do not evaluate.

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