math exam 2 practice solutions.pdf - MTH 132 Solutions to Exam 2 November 19th 2018 Name Section Recitation Instructor INSTRUCTIONS \u2022 Fill in your

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MTH 132 Solutions to Exam 2 November 19th, 2018 Standard Response Questions . Show all work to receive credit. Please BOX your final answer. 1. (6 points) Find the mot general antiderivative of the function f ( x ) = x 5 - sec( x ) tan( x ) + 1 2 x Solution: F ( x ) = 1 6 x 6 - sec( x ) + x + C 2. (8 points) Determine the value(s) of a such that: Z a +1 a (2 x + 3) dx = 10 Solution: Z a +1 a (2 x + 3) dx = x 2 + 3 x a +1 a = ( a + 1) 2 + 3( a + 1) - a 2 - 3 a = a 2 + 1 + 2 a + 3 a + 3 - a 2 - 3 a = 2 a + 4 = 10 2 a = 6 a = 3 Page 2 of 11
MTH 132 Solutions to Exam 2 November 19th, 2018 3. (14 points) A small region has the shape of a rectangle attached to a semicircle, so that the diameter of the semicircle is equal to the width of the rectangle. The perimeter is 2 m.

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• Spring '18
• S. Fitzpatrick, S. Evans

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