math1120_sample_prelim1_solutions - Math 1120 Prelim I Your...

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Math 1120: Prelim I (September 29, 2009) Your Name: Your Instructor’s name: Your Lecture Number and/or Day and Time: This exam has 8 pages with 6 problems adding up to 100 points. If you need extra space, you can use the other side of each page. No calculators or books are allowed – you may have one 8.5 x 11 formula sheet. Please show all of your work (including the intermediate steps). Writing clearly and legibly will improve your chances of receiving the maximum credit that your solution deserves. Good luck! Problem # Max pts Earned 1 20 2 15 3 15 4 18 5 18 6 14 Total 100 Academic Integrity is expected of all students of Cornell University at all times, whether in presence or absence of members of the faculty. Understanding this, I declare I shall not give, use, or receive unauthorized aid in this examination. Signature of the Student: 1
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Problem 1. Evaluate the following expressions: (a) (5pts) d dt Z 6 t - 5 t - 7 e x 2 dx = solution: d dt Z 6 t - 5 t - 7 e x 2 dx = e (6 t - 5 t ) 2 d dt (6 t - 5 t ) = e (6 t - 5 t ) 2 (6 - 5 2 t ) (b) (5pts) Z 1 0
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