MAT137Y1 Midterm: MAT137Y1 - Term Test 2

• School: UTSG
• Department: Mathematics
• Course: MAT137Y1
• Professor: All

Document Summary

Let = {0 =,1, , 1, =} be a partition of [,] For each = 1, , choose [ 1,] Find the volume of a pyramid of height , whose base is a square of side length . cross-section with at area () = 0, = 3, = + 1 about the y-axis. Find the volume obtained by revolving the region bounded by. + 1 = 3 => = 4 cross-sections perpendicular to x-axis cross-sections perpendicular to y-axis. Find the volume obtained by revolving around the line = 12. Will go over example 3 on wednesday. A1: a n = (n+1) 2, b n = (-1) n-1 (2) n-1, c n = (n+1)/n, d n = 3n - 2. Let f be a function with domain at least [1, ). If lim x f(x) = l , then lim n a n = l. If lim n a n = l , then lim x f(x) = l.