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Unformatted text preview: g(x) = e sin(x) , then ( g (x) = e cos(x) _______ 15. x 2 (4 + x 3 ) 5 dx = (4 + x 3 ) 6 18 + C . _______ 16. The maximum value of arcos(x) occurs when x = 1. _______ 17. cos(arctan( 3 4 ) = 4 5 _______ 18. (x +1) (x 1) = e (x+1)ln(x 1) . _______ 19. x limarctan(x) = p 2 20. (8 pts) How did we define ln(x)? What area has value ln(2)? Use this to give an estimate of ln(2). How would you use the previous to estimate ln(1024)? (Hint: 1024 = 2 10 ) 21. (15 pts) The area enclosed between the curves y = x and y = x 2 is rotated around the xaxis. Find the resulting volume. 22. (10 pts each) Find the indicated integrals. e x 5 + e x dx cos(3x) 1+ sin 2 (3x) dx 5 2x 1 dx...
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This note was uploaded on 05/05/2008 for the course M 408 D taught by Professor Textbookanswers during the Spring '07 term at University of Texas at Austin.
 Spring '07
 TextbookAnswers
 Math, Multivariable Calculus, Slope

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