APPM 1360 Midterm: appm1360summer2017exam2_0
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Summer 2017: (15 pts) the base of a solid region s is the triangular region with vertices (0, 0), (1, 0), and (0, 1). Cross sections perpendicular to the y-axis are equilateral triangles. Find the volume of s: (18 pts) determine whether or not the following sequences converge or diverge. Be sure to justify your answer: (cid:26) 3n+1 5 4n. Hint: consider the domain of the function and recall that (cid:0)sin 1 x(cid:1) : (15 pts) the part of the curve y = 4x 1 between the points (1,3) and (4,15) is revolved about the y-axis. 1 the area of the generated surface: (15 pts) find the centroid of the region bounded on the left by x = 0, on the bottom by y = x and above by y = 2 x2. Center of mass/centroid integrals m = z b a.
