MATH 221 Final: MATH 221 KSU Final Exam f99
15 Feb 2019
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No notes, books, reference material or calculators are allowed. X2 2x + 3 (9) c) z csc3 x cot3 x dx (9) d) z e. 1 x2 ln x dx (9) e) z x. 3x2 + 3x + 4 (x + 2)(x2 + 1) dx. Find the limit: lim x 0+ (sin x)sin x (12) 4. Graph the polar equation r = sin 2 and nd the area inside it. r = sin 2 . If p (x) grows exponentially, p (1) = 10 and p (2) = 15 , nd p (5) . Leave your answer in terms of exponentials and/or logarithms. 3: investigate the convergence of each of the following series. Tell whether the given series converges conditionally, converges absolutely or diverges. You must justify your answer with a relevant test. (9) a) e2n n! Determine the interval convergence of the power series: ( 1)n+1(x + 2)n n.
