MAT134Y5 Study Guide - Midterm Guide: Integral Test For Convergence, Direct Comparison Test
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Mat134y5y - calculus for life sciences - utm - 2011-2012. Term test 4 - final answers - version 2564. Part a: (note: equivalent answers are also acceptable. : diverges, x cos x + sin x + c, (cid:0) 3. 2 x + c(cid:1)2/3 (cid:0) 3: 2/3, 0. 3: diverges by the n-th term test for divergence, converges by the limit (or direct) comparison test, diverges by the integral test. 1 x + 2 ln(x2 + 1) + tan 1 x + c: (a) a2 = 2 , a3 = 4/3 lim n an = 1, (a) p (t) = 20. 2 t (b) p(1)=20 thousand and p(1. 5)=40 thousand . (c) explosion occurs at t = 2 minutes, since lim t 2 . P (t) = + : (a) x.
