MATH 2401 Study Guide - Directional Derivative, Kolmogorov Space

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20 Feb 2013
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Instructions:this exam contains 7 pages (including this cover page) and 6 problems. Check to see if any pages are missing. Print your name and sign your signature to indicate that you accept the honor code. The following rules apply: calculator is allowed to use. Work scat- tered all over the page without a clear ordering will receive very little credit: mysterious or unsupported answers will not receive full credit. 02/19/13: (8 points) calculate, simplifying the answer: 0 [e ti + sin( t)j + t2k]dt (a) (2 points) (cid:82) 1 (cid:82) 1. J + 1 e i + 2. 0 k (b) (3 points) d dt [(eti + e tj + tk) (e ti + etj + 1 t2 k)] solution: d dt [(eti + e tj + tk) (e ti + etj + 1. = j ( 1 t i lntj + 1 t i 1. = 1 t i 1 t k.