MA 126 Midterm: 2-12f-test3

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31 Jan 2019
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Clearly write your answer (only) in the space provided after each question. You do not need not to show your work for this part of the test. No partial credit is awarded for this part of the test! Determine whether the improper integral is convergent or divergent. Find the area of the region bounded by the line y = x + 1, the x-axis, the y-axis and the vertical line x = 1. Find the area of the region bounded by the curve y = x3, the vertical line x = 0 and the horizontal line y = 8. Find the volume of the solid obtained by rotating the curve y = x2 about the x-axis for. Find the length of the arc of the circular helix with vector equation r(t) = h 2 cos(t), 5 t, 2 sin(t)i when 0 t 1. You must show your work on this part of the test to get full credit.

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