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Material Type: Exam; Class: SOPHOMORE PROB SOLVING; Subject: Mathematics; University: Temple University; Term: Spring 2008;
Typology: Exams
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Section/Problems 10.1/25,45, 51 10.2/14, 23, 31, 34 10.3/1, 2, 7, 13 10.4/6, 7, 17, 23 10.5/3, 10, 19 (no drawing), 21, 22, 23 57 11.1/3, 4, 17, 19 11.2/4, 5 6 11.3/2, 5, 13 11.4/2, 3, 4 (find T only for these problems) 12.1/(find domain and range and plot the level line for the indicated value(s) of k) 2 (k = 2, 5 (k = −2, 6 k = −3, 7 k =
7, 8 k =
5 , 9 k = e−^1 12.3/11, 12, 27, 30, 43, 45, 46 12.4/3, 5, 9, 10, 11 12.5/5, 13, 18, 21 12.6/5, 6, 11 12.7/23, 25 13.1/15, 21 13.2/7, 9, 25, 27 13.3/ 13.4/7, 13, 16 13.5/(3, 5 (do any one way)), 13, 27, 31 13.7/15, 19, 37, 53, also, for the integral
∫ (^0)
− 2
∫ √ 4 −x 2
−√ 4 −x^2
−
4 −x^2 −y^2
z
x^2 + y^2 + z^2 dzdydx
Express in both cylindrical and spherical coordinates. DO NOT EVALUATE 14.1/ 14.2/3, 11, 14, 23 (Circulation only) 14.3/3, 5, 9, 17, 21 14.4/3, 5, 15, 17, 19