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Unformatted text preview: . 04) 1 / 2 . 4 [5 points] Question 5. Find the rst three terms of the Taylor series for the function f ( x ) = ex sin x. 5 [6 points] Question 6. Consider the parametric curve x = t +ln t , y = tln t , where 0 < t < . Find dy/dx and d 2 y/dx 2 . Find where the curve is increasing, decreasing, concave up, or concave down. Sketch the curve. 6 If helpful, you may use any of these formulas in any of the test questions. sin 2 x = 1 2 1cos 2 x cos 2 x = 1 2 1 + cos 2 x Z 1 1 + x 2 dx = ? Z sec x dx = ln  sec x + tan x  + C 1 + x 1! + x 2 2! + x 3 3! + = ? xx 3 3! + x 5 5!x 7 7! + = ? 1x 2 2! + x 4 4!x 6 6! + = ? xx 2 2 + x 3 3x 4 4 + = ? 7...
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This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.
 Spring '08
 wang
 Formulas

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