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Unformatted text preview: Math 1502D, September 23rd, 2009 1 Georgia Tech School of Mathematics Math 1502D Calculus II, Section D Test # 1 September 23rd, 2009 First Name : Last Name : DO NOT WRITE IN THE TABLE BELOW 1a 1b 2a 2b 2c 3 4a 4b 4c 4d 5a 5b 6a 6b 6c Math 1502D, September 23rd, 2009 2 WARNING : Read carefully, read the comments in italic, take your time, do not panic and double check what you write. Take the time to write in plain English the criteria or the names of the tests you are using to justify your answer. The test will last 50 minutes. Math 1502D, September 23rd, 2009 3 1. (a) Give the Taylor expansion of P ( x ) = 1 4 x + 6 x 2 4 x 3 + x 4 near x = 1 P ( x ) = (b) Give the value of Q (39) (0) if Q ( x ) = 1 x 13 39 + x 26 650 x 39 37 × 38 × 39 + x 52 24 x 65 65 × 64 × 63 Q (39) (0) = Math 1502D, September 23rd, 2009 4 2. (a) Give the Taylor expansion to order 2 n + 1, near x = 0 of ln 1 + x...
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This note was uploaded on 11/30/2009 for the course MATH 1502 taught by Professor Mcclain during the Fall '07 term at Georgia Tech.
 Fall '07
 McClain
 Calculus

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