MATH 132 Midterm: MATH 132 UMass Amherst Math-132-Exam-1-SP16
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Johnson: no calculator, papers, phones, smart watches, 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. 1 (a) z 2 (b) z (c) z /3 (d) z /3. 0 (f (x) g(x)) dx (g(x) f (x)) dx. 2 g(x2: [5 points] which of the following integrals would be solved using a u- substitution? (a) z sin( )e d (c) z x3 + 7x2 + x x (b) z. X2 7 dx dx (d) z sin2(x) cos3(x) dx. Please ll in your letter answer for questions 1-5 below: (1) (2) (3) (4) (5) Free response portion: show all work for each of the following ques- tions. 4: let r be the region enclosed by the curves y = x and y = 1.
