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Calculus Solutions 10 - Answers to Odd-Numbered Problems...

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Answers to Odd-Numbered Problems CHAPTER 6 EXPONENTIALS AND LOGARITHMS Section 6.1 An Overview (page 234) 1 5; -5; -1.1.. 3.2 5 1; - 10; 80; 1; 4; - 1 7nlogbx gmaa 3 , 10 13 lo5 5' 2 ' 1 5 0 ; I S F = 1 0 7 ~ O ~ 8 . 3 + l ~ g l o 4 1 7 A = 7 , b = 2 . 5 1 9 A = 4 , k = 1 . 5 21 A; -&;log2 23 y - 1 = cx; y - 10 = c(x - 1) 25 (.l-h - l)/(-h) = (loh - l)/(-h) 27 3/' = c2bX; x0 = -l/c# 29 Logarithm Section 6.2 The Exponential eZ (page 241) 1 49e7" 3 8e8" 5 3% in 3 7 ($)" in $ 9- (i+e:)2 1 1 2 13xex l5 (e~+e-z)2 4 1 7 esin x cos x + ex cos ex 1 9 .1246, .0135, .0014 are close to ;i;~ 21 1.1 e ' e 2 3 Y ( h ) = l + & ; Y ( l ) = ( l + & ) ' O = 2 . 5 9 2 5 ( l + ~ ) " < e < e x < e 3 x / 2 < e 2 x < 1 0 x < z x 3s 72 z3 e-z3 2 7 % + ? 2 9 x + & + & 31 % + 2ex 33%-- 2 35 2exl2 + $ 37 e-" drops faster at x = 0 (slope -1); meet at x = 1; e-"'/e-" < e-g/e-3
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