This preview shows pages 1–7. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Question 5. Find the ﬁrst 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 ² cos 2 x = 1 2 ± 1 + cos 2 x ² 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...
View
Full
Document
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

Click to edit the document details