assign5 - MAT 1322 A Assignment 5 (Due Wed. April 1st at...

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Unformatted text preview: MAT 1322 A Assignment 5 (Due Wed. April 1st at 8:30) 1. Starting from the Maclaurin series for (ii) Student Number: 1 , find the Maclaurin series of (i) ln(1 + x2 ) and 1−x ln(1 + x2 ) dx . For each, indicate on which open interval the series is guaranteed to be convergent and represent the given function. Work: Answers: 2. Find the Maclaurin series of f (x) = (1 + x2 )1/3 . Work: Answer: x2 4y 2 3. Sketch, on the same graph, the level curves of − = C for C = −1, 0, 1, 4 . Indicate the scale 4 9 on your axes and label the contours. Answer: 4. Find all first and second partial derivatives of the functions. (a) f (x, y ) = 2x2 y 3 + 3x − ln(2) Work: Answers: (b) g (r, θ) = r2 cos(3θ) − e3r (c) f (x, t) = ln x2 t − t x ...
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This note was uploaded on 09/28/2011 for the course MATH 1322 taught by Professor Kousha during the Winter '10 term at University of Ottawa.

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assign5 - MAT 1322 A Assignment 5 (Due Wed. April 1st at...

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