Pre-Calc Homework Solutions 472

# Dy dx 1 x 1 x x 1 1 1 2 consequently f x can be

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Unformatted text preview: can be written as a sum of an even and an odd function. (b) Even part: odd part: e ex x 69. cosh x x 1 x2 x2 x 1 x2 e 2 e 2 x x y y y sech 0C dx 1 dx 1 and 1 x 4 sinh x (x) x2 1 C; x (x) 66. (a) If f is even, then f (x) 2 2 f (x) 2 f (x) 2 f ( x) f (x) f ( x) 2 0y x 1 4 sech dy 2 dx ln 81 ln 16 x2 x ; 4 f (x) 70. y 0 4 cosh 1 sinh2 cosh2 f (x) (b) If f is odd, then f (x) 2 f (x) 2 dv dt f (x) f (x) 2 mg sech2 k f ( x) f (x) f ( x) 2 f (x) the surface area is S ln 81 2 y 1 ln 81 dy 2 dx dx 8 0 f (x) gk m ln 16 cosh2 x dx 4 x ln 81 2 ln 16 4 ln 16 1 cosh x dx 2 4 4 x 2 sinh 67. Note that gk t m ln 81 2 sinh ln 81 2 ln 16 2 g sech2 Then m dv dt gk t. m gk t and...
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## This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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