Math 132 Exam 1 Fall 2018 Name Signature Student ID Number Section Number Section Instructor Day Time Section Instructor Day Time MWF 9 05 1 6 MWF 10 10 7 2 MWF 11 15 8 3 4 MWF 12 20 9 5 Correia Correia Duan Nguyen Hacking MWF 1 25 TuThu 1 00 Farelli Farelli TuThu 2 30 Destromp MWF 10 10 MWF 1 25 Torres Dul MWF 8 00 Nakamura TuThu 8 30 10 11 Calculators papers phones smart watches any device or notes are not permitted on this exam The use of any of these items is considered Academic Dishonesty In the free response section do not just give an answer Clearly explain how you get it providing appropriate mathematical details An answer with no corresponding work will be awarded zero points This is a 2 hour exam Grade Question Multiple Choice Questions Out of 25 6 Out of 15 7 Out of 10 8 Out of 10 9 Out of 10 10 Out of 10 11 Out of 10 12 Out of 10 Total Out of 100 Multiple Choice Section Choose the one option that answers the question There is no partial credit for questions 1 5 Only answers written in the answer blank will be graded 1 5 points Which of the following is true sin 5 4 sin 5 8 sin 5 4 sin 5 4 2 sin 5 8 C sin 5 4 cos 5 4 cos 5 8 Answer 1 D sin 5 4 2 sin 5 8 A B 2 2 2 2 2 5 points To evaluate the following integral which of the following is true 3 2 A Using Integration by Parts 3 2 3 2 and 2 B Using Integration by Parts 2 2 2 and C Using Integration by Parts 3 2 3 2 and 1 2 2 2 1 2 D This integral cannot be evaluated Answer 2 2 3 4 5 points To integrate the following function using u substitution which of the following would be the resulting integral 1 18 A 19 18 B 1 18 C 18 19 Answer 3 D The method of u substitution cannot be used to evaluate this integral 5 points Starting at time 0 minutes a metal bar is cooling at a rate of 98 0 1 min How much will the temperature have changed by at the end of one hour if the initial temperature is 100 A 100 0 1 60 1 B 0 1 60 1 98 0 1 98 0 1 98 0 1 D 98 0 1 0 1 60 1 C 100 0 1 60 Answer 4 3 5 5 points Which of the following integrals has the largest value A B C D Answer 5 4 Free Response Section Show all work for each of the following questions Partial credit may be awarded for questions 6 12 6a 5 points Sketch the graph of the curves 1 3 and 1 2 Then calculate the area enclosed by the curves 6b 10 points Find the volume of the solid obtained by rotating the region enclosed by the curves 1 3 and 1 2 about the line 2 5 7 10 points The velocity function measured in meters per second is given by 2 2 for a particle moving along a line Calculate the distance traveled by the particle over the time interval 1 3 6 8 10 points Evaluate the integral ln 3 4 2 7 9 10 points Evaluate the integral 2 11 8 10 10 points Evaluate the integral 15 cos 1 2 9 11 10 points Evaluate the integral 5 1 12 10 12 10 points Evaluate the integral All trigonometric special values must be simplified 4 sin2 2 cos2 2 0 11