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Assignment4

# Assignment4 - the exams • to avoid frustration and...

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MATH 138 Winter 2012 Assignment 4 Topics: Volumes of revolution, Approximate Integration and Improper Integrals Due: 11 am Friday, February 3. Instructions: Print your name and I.D. number at the top of the ﬁrst page of your solutions, and under- line your last name. Submit your solutions in the same order as that of the questions appearing herein. On collaboration: First attempt the questions on your own, but if you get help or collabo- rate with someone, then acknowledge the names of those who helped you. Any outright copying of assignments will be reported as an act of academic plagiarism. On work presentation: Your solutions must have legible handwriting, and must be pre- sented in clear, concise and logical steps that fully reveal what you are doing. Questions such as those to be handed in, as well as those that are recommended, maybe appear on
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Unformatted text preview: the exams. • to avoid frustration and disappointment, get started on your assignment early on. • Do not forget to work on the recommended problems from Stewart’s book that are listed in the on the Schedule and exercise list sheet found on the D2L webpage. This will give you much needed practice. Hand in your solutions to these problems with a print out of your Maple lab solutions . Section 7.8 20) & 34) Determine whether each integral is convergent or divergent. Evaluate those that are con-vergent. (a) Z ∞ 2 y e-3 y dy , (b) Z 5 w w-2 dw 56) Evaluate Z ∞ 2 1 x √ x 2-4 dx [Hint: Express the integral as a sum of improper integrals of Type 2 and Type 1, see Section 7.8, #55]. 58) Find the value of p for which the integral converges and evaluate the integral for those values of p . Z ∞ e 1 x (ln x ) p dx 1...
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