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

math exam 2 practice solutions.pdf - MTH 132 Solutions to...

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MTH 132 Solutions to Exam 2 November 19th, 2018 Name : Section : Recitation Instructor : INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages 1 through 11. Show all your work on the standard response questions. Write your answers clearly! Include enough steps for the grader to be able to follow your work. Don’t skip limits or equal signs, etc. Include words to clarify your reasoning. Do first all of the problems you know how to do immediately. Do not spend too much time on any particular problem. Return to difficult problems later. If you have any questions please raise your hand. You will be given exactly 90 minutes for this exam. Remove and utilize the formula sheet provided to you at the end of this exam. ACADEMIC HONESTY Do not open the exam booklet until you are instructed to do so. Do not seek or obtain any kind of help from anyone to answer questions on this exam. If you have questions, consult only the proctor(s). Books, notes, calculators, phones, or any other electronic devices are not allowed on the exam. Students should store them in their backpacks. No scratch paper is permitted. If you need more room use the back of a page. You must indicate if you desire work on the back of a page to be graded. Anyone who violates these instructions will have committed an act of academic dishonesty. Penalties for academic dishonesty can be very severe. All cases of academic dishonesty will be reported immediately to the Dean of Undergraduate Studies and added to the student’s academic record. I have read and understand the above instructions and statements regarding academic honesty: . SIGNATURE ? Page 1 of 11
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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
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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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