Calculus Solutions 11

Calculus Solutions 11 - A-10 Answers to Odd-Numbered...

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A-10 Answers to Odd-Numbered Problems Section 6.4 Logarithms (page 258) 1 $ 3-1 5 lnx 7~085= x(ln x)a sins x 9 11 $lnt+C I3 in$ 15iln5 17-ln(ln2) 191n(sinx)+C 21-$ln(cos3x)+C 23$(ln~)~+C 27 in y = $ ln(x2 + 1); 2 = 29 * = esin cos x dFE dx 31 2 = exee' 33 lny=exlnx;~=yex(lnx+~) 55lny=-1soy= :,z=O 370 39 -1 41 sec x 47 .l; .095; .095310179 49 -.01; -.01005; -.010050335 51 lYHSpital: 1 53 1 55 3 - 2 in 2 57 Rectangular area i + . . + < $: $ = Inn In b 59Maximumate 610 6310gloeor& 651-x;l+xln2 (t+2)a -+ y = 1 - 1 never equals 1 67 Raction is y = 1 when ln(T + 2) - In 2 = 1 or T = 2e - 2 69 y' = -2- t+2 71 lnp = xln2;LD 2"ln2;ED p = eZLn2,p' = In2 esln2 75 24 = 42; yln x = xln y -+ '"2 = decreases after x = e, and the only integers before e are 1 and 2. y's Section 6.5 Separable Equations Including the Logistic Equation
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This document was uploaded on 11/02/2011 for the course MAC 2311 at University of Florida.

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