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Unformatted text preview: Solve the following equation for a complex variable z : z 4 =-j (Be sure to nd all possible answers, and express your answers in polar form and plot all the solutions on the complex plane with magnitude and angle) 5. (20 Points) Evaluate following complex number: (1 + j ) 2007 (Hint: Use following formula and polar form representation of the com-plex number, i.e., 1 2 (1 + j ) = e j/ 4 ) (cos + j sin ) n = cos n + j sin n 6. (20 Points) By use of Eulers formula show that: Z e ax sin bxdx = 1 a 2 + b 2 e ax ( a sin bx-b cos bx ) Z e ax cos bxdx = 1 a 2 + b 2 e ax ( a cos bx + b sin bx ) 2...
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