PHYSICS 15A Final: PHYS15A Harvard 03 Spring Final Solutions
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You have 120 minutes to complete this exam. Do not detach this sheet from the body of the test. Answers with no supporting work will be given no points. If you change an answer, please either erase or cross out the answer you do not want considered; questions with more than one answer will be marked wrong. Bubble-in your choice both in the body of the test and in the grid below. Questions 15-20: a b c d e, a b c d e, a b c d e, a b. E: a b c d e, a b c d. 2: let c be the curve in r3 de ned by x = t2. 3 t3/2, z = 2t, t [0; + ). Calculate the distance along c from (0, 0, 0) to(cid:18) 1. C1 : x = t, y = t2, z = t4.