HW8.EGM4313

# HW8.EGM4313 - Page 617 problem 14 29 29 29 5 4 5 8 4 1 2 1...

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Page 268, Problem 46 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 2 2 1 2 2 12 1 2 108 12 , 1 2 36 12 12 12 2 4 1 3 0 0 0 , 12 12 2 4 1 3 s s s s s Y s s s s Y s s Y sY y t t y y + - + + - = - + + - = - + - - = = - + - - = (Algebraic steps skipped.) Using partial fractions t t t t e e t y e e t y s s s s Y s s s s Y 32 5 27 42 , 8 5 3 18 1 32 2 5 27 54 , 1 8 2 5 3 18 2 2 2 1 2 2 2 1 + - - - = + - - - = - + + - - - = - + + - - - = - - Page 611, problem 23: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 1/ 4 ( 2 ) / 4 4 cos / 4 sin / 4 cos 3 / 4 sin 3 / 4 2 2 1 1 cos / 4 sin / 4 2 2 cos 3 / 4 sin 3 / 4 n i i i e i i i π - + - - - = = = ± ± + +

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Page 611, problem 24: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 arctan 4/3 2 /3 3 3 3 3 arctan 4 / 3 arctan 4 / 3 5 cos 2 / 3 sin 2 / 3 3 3 arctan 4 / 3 arctan 4 / 3 3 4 5 5 cos sin 3 3 arctan 4 / 3 arctan 4 / 3 5 cos 2 / 3 sin 2 / 3 3 3 i n i i e i i π + - + - + = = + + + +
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Unformatted text preview: Page 617, problem 14: ( 29 ( 29 ( 29 5 4 5 8 4 1 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 i i y x y i y x x iy x z + = +-⇒ +-+ +--=--=-Page 618, problem 23: ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 3 3 2 1 2 1 1 2 1 z i z i z f z i z f-=-⋅--= ′ ⇒-= Page 623, problem 18: ( 29 ( 29 ( 29 ( 29 ( 29 4 2 8 , 2 8 1 2 2 2 2 2 2 2 3 2 2 2 2 2 2 3 2 2 2 2 2 ≠ + = ∇ ⇒ +-+ = +-+ = ⇒ + = y x u y x y x y u y x y x x u y x u yy xx...
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HW8.EGM4313 - Page 617 problem 14 29 29 29 5 4 5 8 4 1 2 1...

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