assign1 - y = x 3 and y = 3 x . ( Hint: dont forget the...

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MAT1332A - Calculus for the Life Sciences II - Fall 2009 Assignment 1 This assignment is worth a total of 50 points. Due on Tuesday, October 6 , at the beginning of the lecture. Sorry, no late assignments will be accepted. Please write your answers neatly in complete and clear sentences. Explain your reasoning. Providing only an answer is not acceptable. Do staple your pages. (1) [10 points] Evaluate π π/ 2 θ 3 cos θ 2 . ( Hint: first make a substitu- tion, then use integration by parts ) (2) [10 points] Find the area bounded by the curves
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Unformatted text preview: y = x 3 and y = 3 x . ( Hint: dont forget the region where x < 0) (3) [10 points] Determine the volume of the solid obtained by rotating the region enclosed by y = x 2-2 x and y = x about the line y = 4. (4) [10 points] The area between the curve y = 1 /x , the y-axis and the lines y = 1 and y = 2 is rotated around the y-axis. Find the volume of the solid of revolution formed. (5) [10 points] Evaluate x 6-2 x 5 + 5 x 4-8 x 3 + 9 x 2-4 x + 1 x 4-2 x 3 + 2 x 2-2 x + 1 dx ....
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This note was uploaded on 02/23/2010 for the course MAT MAT1332 taught by Professor Arianemasuda during the Fall '09 term at University of Ottawa.

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