MAT-1120 Midterm: MATH 1120 App State Fall2010 Test2
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X = a cos( ) (a) consider the solid obtained by rotating the region bounded by y = x2. 2 and y = 3x 2 about the axis y = 7. /10 points) kyle developed a mystery liquid whose density is 20 lbs/ft3. Currently kyle"s liquid completely lls a cylindrical tank whose radius is 3 feet and height is 10 feet (the at sides of the tank are parallel with the ground). Find an integral which computes the amount of work required to pump kyle"s liquid into a vat located 5 feet above the top of the tank. Why or why not? (b) solve the following initial value problem: y = 3 x(x2 + 1) dx (b) z x2 sin(5x) dx. /26 points) integrate. (a) z e2x cos(x) dx (b) z x2 x. Z sec2(x) dx = tan(x)+c tan2(x) + 1 = sec2(x) sin2(x) =
