Calculus Solutions 6

# Calculus Solutions 6 - Answers to Odd-Numbered Problems 23...

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Unformatted text preview: Answers to Odd-Numbered Problems 23 \$2000; \$2000 25 X O , 6 / 0 0 , X O , ~ / x o , . . 27 F' = - A x - 3 / 2 2 = -: at . * 29 F1 = 1 - 2cx = 1 - 4c at x* = 2;O &lt; c &lt; ) succeeds 3 1 F1 = 1 - 9c(x - 2)8 = 1 - 9c at x* = 3; 0 &lt; c &lt; succeeds x a -2. sin 2 % - SQ xn+l = X n - &amp;; = xn- C 0 8 X m 3 5 ~ * = 4 i f x O &gt; 2 . 5 ; ~ * = 1 i f ~ o &lt; 2.5 37 m = 1 + c at x* = 0, m = 1 - c at x* = 1 (converges if 0 &lt; c &lt; 2) 39 0 4 3 F' = 1 at x* = 0 Section 3.7 Newton's Method and Chaos (page 145) 1 b:+;Y = 25 r is not afraction 2 7 = f x : + ) + S;Z = A 29 162 - 80z2 + 1282 - 64z4; 4; 2 3 1 lxol &lt; 1 33 A x = 1, one-step convergence for quadratics 55 = *; x2 = 1.86 37 1.75 &lt; x* &lt; 2.5; 1.75 &lt; x* &lt; 2.125 39 8; 3 &lt; x* &lt; 4 4 1 Increases by 1; doubles for Newton 45 xl = xo + cot xo = xo + r gives x2 = xl + cot xl = X I + r 49 a = 2, Y's approach ; Section 3.8 The Mean Value Theorem and 1'H6pita19s Rule (page 152) I c = fi S No c 5 c = 1 7 Corner at ) 9 Cusp at 0 11 sec2 x - tan2 x = constant 1 3 6 15 -2 17 -1 l 9 n 21...
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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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