# hw99 - 9.9 Pages 503-504 1 3 5 9 11 15 17 29 31 33 35 37 39...

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9.9 Pages 503-504 # 1, 3, 5, 9, 11, 15, 17, 29, 31, 33, 35, 37, 39 9. () x fx e = (1) fe = x = = x ′′ = = x ′′′ = = 23 3 (– 1 ) 1 ) 1 ) 26 ee Px e ex x x =+ + + 1. 2 x = (0) 1 f = 2 () 2 x fx e = (0) 2 f = 2 () 4 x e = (0) 4 f = (3) 2 () 8 x fxe = (3) (0) 8 f = (4) 2 () 1 6 x e = (0) 16 f = 4 234 48 1 6 () 1 2 2! 3! 4! 42 12 2 33 x x x x xx x x ≈+ + + + =+ + + + 4 4 (0.12) 1 2(0.12) 2(0.12) (0.12) 3 2 (0.12) 1.2712 3 f ≈+ + + +≈ 3. () s i n2 x = (0) 0 f = () 2c o s2 x = (0) 2 f = () – 4 s i x = (0) 0 f = (3) 8c o x = (3) (0) –8 f = 6 s i x = (0) 0 f = 84 () 2– 2– 3! 3 x x x x ≈= 3 4 (0.12) 2(0.12) (0.12) 0.2377 3 f ≈− 11. () t a n x = ; 3 63 f π  =   2 e c x = ; 4 f π = 2 s e c t a n x x = ; 83 69 f π = 2 ( ) 2sec 4sec tan x x x ; 16 f π = 2 3 3 34 43 33 6 9 6 8 96 Px x x x ππ + π + 5. f(x) = ln(1 + x) f(0) = 0 1 1 x = + (0) 1 f = 2 1 (1 ) x = + (0) –1 f = (3) 3 2 ) x = + (3) (0) 2 f = 4 6 ) x = + (0) –6 f = 126 3! 111 –– fx x x x x x xxx (0.12) 0.12 – (0.12) (0.12) – (0.12) f 0.1133 15. 32 –2 3 5 x x = ++ ; 7 f = 2 () 3 –4 3 x x = + ; 2 f = () 6 –4 x = ; 2 f = (3) () 6 = ; (3) 6 f = 3 ( )72 ) )(1 ) 53 2 x x x xxx f x = + −+− +− =+ − + =

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35. Bounding 2 sin 10ln cc c + on [ ] 2, 4 gives 22 2 sin sin sin 10ln 10ln 10ln 16 1 17 10ln 2 10ln 2 c c c ++ + =≤ + ≤= 17.
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hw99 - 9.9 Pages 503-504 1 3 5 9 11 15 17 29 31 33 35 37 39...

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