HW6_Solutions - Solutions to HW 6 Exercise 6.1(a X t = X...

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Solutions to HW 6 Exercise 6.1 (a) 1 ttt X XZ φ =+ , or (1 ) tt B −= , i.e., 1 () 1 ψ = B B Then 21 2 1 1 ()( ) )(1 ) γσ σ φφ == −− ZZ BB B , 22 2 11 ) 2 (1 2 cos ) ω ωω σσ ωγ ππ φπ = + i ii fe ee . (b) 2 1 2( 1 2c o s ) ωφ πφ φω +− X f f Exercise 6.2 11 2 2 θ + t t X Z , or 2 12 ) θθ =+ + X Z , i.e., 2 () 1 + B . Then 1 1 2 ( 1 ) ( 1 ) 2 + + + Z B B B , 2 1 2 2 2 1 1 1 221 2 2 2 1 2 1 2 1 ( 1 ) ( 1 ) 1 2 c o s 2 c o s 2 2 c o s 2 θθθ π ωθ + + + + + ++ + + + + = +++ + + i i i Z i i Z Z e e e e e e 2 = (a) 2 1 ( ) 3 4cos 2cos2 2 θω ==⇒ = + + Z f . (b) 2 0.5, 0.3 ( ) 1.34 0.7cos 0.6cos 2 2 ⇒= + Z f .
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This note was uploaded on 09/23/2009 for the course MATH 200 taught by Professor Gur during the Spring '09 term at Accreditation Commission for Acupuncture and Oriental Medicine.

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