hw3sol

# hw3sol - − = − = − − = = − − = − = − = −...

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Solutions to Homework 3 3.7 (b) 3.7(c) 3.7(f)

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3.7(i)
3.8(a) 3.8(b)

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3.8(d) 3.8(e)
3.9(d) +1 0 0 1

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1 sin t 3.9(e) s 2 + 3s 3 3 2 5 6 s 2 + 3s 3 s 2 + 3s 3 5/6 3/2 s 2 + 3s 3 3 2 5 6
3.9(f) 3.10

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) ( 0 ) ( 0 2 2 2 0 0 0 0 ) ( ) ( ) ( ) ( ) 1 ( 1 1 1 ) 1 ( 2 ) ( 0 ) ( ) 0 ( 2 ) ( 2 ) 0 ( ) 0 ( ) ( . ) ( 0 t t t t t t e t t e t y t t to t change Now te e t y s s s s s Y s Y y s sY y sy s Y s everywhere t t to t change answer final the in then and t assume We + = + = + + + = + + = = + + = &

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Problem 5. () ) sin( ) ( ) sin( ) cos( 2 1 ) ( ) ( ) ( sin 2 1 ) sin (cos 2 1 2 1 ) ( ) ( 4 ) ( 4 ) ( 4 1 ) ( 4 1 ) 1 ( 1 ) 1 ( 2 1 ) ( ) 1 ( 4 1 ) )( 1 ( 1 4 ) )( 1 ( 1 2 1 ) 1 ( 1 ) 1 ( 1 1 1 ) ( ) ( ) ( ) ( 1 ) ( ) 1 ( 2 ) 1 )( 1 ( 1 2 ) 1 ( 1 1 2 1 ) ( ) 1 ( 1 ) ( ) 0 ( 2 ) ( 2 ) 0 ( ) 0 ( ) ( . ) ( 0 0 ) ( 1 ) ( cos 2 0 0 0 0 ) ( ) ( 0 0 2 2 2 2 1 2 2 1 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 t t t t t t t t e e t t t y t t to t change Now t t t t te e t y j s j j s j j s j j s j s s s Y j j s s s ds d B j j s s s B s s A s s j s B j s B j s B j s B s A s Y s s s s s s s s s s s Y s s s Y y s sY y sy s Y s everywhere t t to t change answer final the in then and t assume We t y t y t t y y y t t t t t t j s j s s + + + = + + + = + +
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Unformatted text preview: + + + − + + + + = − = − + − = = − + − = − = + − = + + + + − + + + − + + + + = + + + + + − = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ + + + − + + = + − = + − + − − − = = = = + + − − − − − − − = − = − = & & & & &...
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## This note was uploaded on 04/30/2011 for the course MAE MAE 143b taught by Professor Callafon during the Winter '09 term at UCSD.

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hw3sol - − = − = − − = = − − = − = − = −...

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