Calculus Solutions 19

Calculus Solutions - A-18 Answers t o Odd-Numbered Problems 3 5ooslope l z l e i e e?O 4 5 cos 8 = sin8 = 4 9 e"I3 5 3 7 x 3x 4 5 3 9 ~ 2~ ~ 1 l x

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A-18 Answers to Odd-Numbered Problems x5 2~~ 35ooslope; l+&(z-l) 37x-3-4-5 39~+%+~ 41l+x+$ 43 14-OX-x2 eie +e-?O ie- -iB 45 cos 8 = ,sin8 = + 47 99th powers - 1, -i, e3"14, -i 49 e-"I3 and - 1; sum zero, product - 1 53 i;, it + 27ri 55 2ex Section 10.5 Power Series (page 395) 11+4~+(4x)~+-. .;r= !;x= f 3e(l-x+< -...); r= co 5lne+ln(l+i)= 1+ 5- i(5)2+-. .;r=e;x= -e 7 1 < 1 or (-1,) 9lx- a1 < 1;-ln(1- (x- a)) l-(1-Lx?. .) 111+~+$+. ..;addtolatx=0 13 al,a3,. ..areallzero 15 -+L 2 17 f ('1 (c) = cos c < 1; alternating terms might not decrease (as required) xn+l n+ l 19f =&,lRnlIw;Rn=~;(1-~)4=1-; n+ 1 21 f("+')(x) = *,, lRnI 5 -(A) -' 0 when x = 4 and 1 - c > i 23 R2 = f (x) - f (a) - ft(a)(x - a) - i fU(a)(x - so Rz = R; = R" 2 - - 0 at x = a, R:' = f"'; Generalized Mean Value Theorem in 3.8 gives a < c < c2 < cl < x 25 1 + ix2 + ;(x2)' 27 (-l)n; (-l)n(n + 1) 29 (a) one friend k times, the other n - k times, 0 5 k 5 n; 21 33 (16 - 1)'14 EI 1.968 35 (1 + I ) = ()() + ( I ) 1.1105 37 1 + $ + 5ZI-r 24 ' = 5 41 x + x2 + $x3 + $x4 43 x2 - 5x4 + &x6 45 1 + + + 2 47.2727 49 6 - 3 = 2 51r = 1,r = 5 - 1 CHAPTER
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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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