222-malekpour-07spex01

222-malekpour-07spex01 - MATH 222 SHIRIN MALEKPOUR Name:

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Unformatted text preview: MATH 222 SHIRIN MALEKPOUR Name: ____________________________________ _'__ _ Section number: __________________ _.' ______________ _- - MARCH 6, 2007 EXAM I TAzElMichael Childers E] Patrick Curran DJeremy Rouse 1. Write your name and section number on every answer sheet. 2. Show your reasoning. You need to show work to get full credit. D Marc Conrad DMatija kazalicki 3. Leave your answers inform of J? + 713, 1n(2), etc. No Calculators are allowed. 4. Circle your final answers. TAflMichael‘ Childers ‘ Cl Marc Conrad Name: _____________________________________ _- D Patrick Curran DMatija kazalicki DJeremy Rouse Section number: _____________________________________ __ I. (15 pom’cs.) Fmd the 1ndefin1te Integral 2x 1n(a:2)dz. TAz’DMichael Childers E! Marc Conrad Name:__-__--_________--_______-________--_-_ Cl Patrick Curran ' DMatija kazaiicki ' DJeremy Rouse ' Section number:___; _____________________________ __-____ ‘ II. (20 points.) (A) Compute the definite integral 1 32 / §v9 — m2dx 0 2 2 (B) Find the area of the ellipse with equation 3;— + 1—14— given ellipse in the first quadrant in the form y = 1. (Hint: What is the equation of the ...?) V TAzCJMichael Childers D Marc Conrad Name; _____________________________________ __ ' [:1 Patrick Curran DMatija kazalioki _ ‘ DJeremy Rouse Section number: _____________________________________ __ ’ III. (15 points.) Compute the improper inteng °° 2 / 2:3 dx. wear +1| ‘ TAflMichael Childers. Cl Marc Conrad Name; ____________________________________ _- v C] Patrick Curran ' DMatija kazalicki ClJeremy Rouse _ Section number: _____________________________________ -- W IV. (15 points.) Compute the indefinite integral / $2 + a: + 1 -———————d:r. a:(:c2 + 1) TAzClMichael Childers E] Marc Conrad Name: _____________________________________ __ [J Patrick Curran DMatija kazalioki DJeremy Rouse _ 4 Section number: _____________________________________ __ V. (20 points.) Let :32 + my + y2 = 1 be given. (A). Determine the angle of rotation 6 needed to eliminate the cross product in the given equa— tion. (B) Identify the eonic and find its eccentricity. .TAzElMichael Childers 13 Marc Conrad Name: ____ -'___; ____________________________ __ Cl Patrick Curran ~BMatija kazalicki DJeremy Rouse V Section number: _____________________________________ __ VI. (15 points.) In each part find the area of the shaded area. Set up the integrals but do NOT evaluate them. . (A) (B) (C) ...
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This note was uploaded on 08/08/2008 for the course MATH 222 taught by Professor Wilson during the Fall '08 term at Wisconsin.

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222-malekpour-07spex01 - MATH 222 SHIRIN MALEKPOUR Name:

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