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Unformatted text preview: Department of Mathematics, University of Toronto Term Test 3 – March 13, 2002 MAT 137Y, Calculus! Time Alloted: 1 hour 50 minutes 1. Evaluate the following integrals. (6%) (i) (6%) (ii) (7%) (iii) (7%) (iv) (7%) (v) (7%) (vi) 31 1 12 5 dx . xx4 1 0 x arctan x dx. 2. Evaluate the following expressions. (5%) (iii) lim cos x
x0 cot2 x . 5. . d x t2 xe dt . dx 0 (8%) (ii) Find all continuous functions f satisfying f x (7%) (i) Find 2 x 0 f t dt for all x. 1 (15%) 4. The area bounded by the curve y2 4ax a Find the volume of the resulting solid. 0 and the line...
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This note was uploaded on 10/14/2010 for the course MAT MAT taught by Professor Unknown during the Spring '10 term at Touro CA.
 Spring '10
 unknown
 Integrals

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