PHYSICS 15A Midterm: PHYS15A Harvard 05 Spring Midterm2 Solutions

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15 Feb 2019
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15 (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) Total (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) (cid:12)(cid:12)(cid:12) 2 by 11 inch) both sides handwritten notes is permitted. Rules: one sheet of paper (8 1, no other written or printed materials are allowed, no electronic devices (cellular, calculator, ipad, etc. ) are allowed. Grading: each problem is worth 10 points (partial credit possible), do all 15( veteen) problems, showing your work and circling your answers, no credit will be given for just guessing and not showing the work leading to the answer. Instructions: fill out the information requested below, and at the top of every page of this exam, check that your exam booklet contains cover page + eight pages (15 problems). Name: the value of the integral z 1 (a) 1 + . 2 + ln 3 (d) ln 3 + 3 (e) 1 + 2 (f) 0 (g) .