MATH 132 Final: MATH 132 UMass Amherst Math-132-Final-Exam-SP15
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Wen: no calculators, papers, or notes may be used, please don"t just give an answer. Clearly explain how you get it, pro- viding appropriate mathematical details: this is a 2 hour exam. Mutiple choice section: choose the one option that best answers the question. 2: [5 points] find the interval of convergence of the power series: Xn=1 n! (3x 1)n (a) i = {0} (b) i = ( 1. 3] (c) i = (d) i = { 1. 3: [5 points] eliminate the parameter to nd the cartesian equation for x = 5 sin(t), y = 2 cos(t). 4 = 1 (c) x2 + y2 = 1 (d) x2 + y2 = 10: [5 points] convert the polar equation 3r cos( ) + 4r sin( ) = 1 into a. Cartesion equation. (a) 3x + 4y = x2 + y2 (b) x. 4 = 1 (c) 3x + 4y = 1 (d) 3y + 4x = 1.
