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MATH 0230 Final: MATH 230 m230 Final Exam 1-206

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turquoisegnu128

31 Jan 2019

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If it diverges, show a)r 7x ex/4 dx b)r 3x+5 x2 4x dx. Find the volume of the solid formed when the region between the curves y = 4 2x and y = x3 is rotated about the x axis. Note: these two curves intersect at the point (2, 8). Find the volume of the solid formed when the region which is bounded by the curves y = x 28 x3 and y = x is rotated about the y axis. Note: these curves intersect at the point (3, 3) P = (3, 2, 0): determine the angle between the vectors u =< 8, 10, 6 > and v =< 2, 2, 1 > . Determine the points (x, y) on the parametrically de ned x(t) = 3t2 + 9t + 4, y(t) = t3 where the slope of the tangent line to the curve has a value 1.

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