Thomas' Calculus: Early Transcendentals

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Name Class Time MATH 104 - QUIZ # 2 Spring 2003 Due Friday, March 7 at 2PM Covers Sections 7.6, 8.1, 8.4-8.5 of the textbook Time: 60 minutes Please show all work. Books, notes, calculators, are not permitted on this quiz. As part of your obligations under the Honor Code, do not discuss this quiz with anyone until after the Friday 2PM deadline. WRITE OUT AND SIGN THE PLEDGE: I pledge my honor that I have not violated the Honor Code during this examination.
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1. (10 points) Find Z dx (1 - x 2 ) 3 / 2
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2. (10 points) Find Z (sin 5 x cos 3 x + cos 5 x sin 3 x ) dx
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3. (10 points) Consider the “triangular region” in the first quadrant bounded on the left by
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Unformatted text preview: the y-axis and on the right by the curves y = sin x and y = cos x . Compute the volume of the solid S obtained by revolving this region about the x-axis. 4. (10 points) The region R is bounded by the curves y = 1 4 √ 3 x 2 + 1 , x = 1, the y-axis, and the x-axis. (a) Compute the volume of the solid S 1 obtained by revolving R around x-axis. (b) Compute the volume of the solid S 2 obtained by revolving R around y-axis. 5. (10 points) Find Z dx ( 3 √ x + 1) √ x...
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This homework help was uploaded on 02/12/2008 for the course MATH 104 taught by Professor Nelson during the Fall '07 term at Princeton.

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quiz2 - the y-axis and on the right by the curves y = sin x...

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