Two sample Quiz that I need solved so I can study from

ECE 115, Quiz #2, F/12 Name _______________________________ Lab Sect.______ Score______

1) Write the polynomial: 2( ) 2 2f x x x= + + , as a product of first order

factors. 2) Given is: 2 3y j= − − . Give y in polar form. 3) Given are: 1 3c j= − and 2 1 2c j= − − . Find the imaginary part of 3 1 2/c c c= . 4) Given is: ( ) 5sin ( 60 / 3)x t tπ π= − + . Find (a) the frequency f in Hz of ( )x t (b) the period 0T in seconds of ( )x t (c) the amplitude A of ( )x t (d) the phasor X of ( )x t . Hint: cos( ) cos( ) cos( ) sin( ) sin( )α β α β α β+ = − .

5) The period of the sinusoidal function ( )v t is 0T = 10 m sec , and its phasor is: 2 /35 jV e π= . Give ( )v t .

6) Give a sketch of: ( ) 5sin (10 )x t tπ= over 0 0.4t≤ ≤ . You must label the vertical and horizontal axes.

7) For 2 , 1a b= = − and 1c = , find (a) ( 4) ^ 2x a b c b= > − + <= (b) ~ & | ( & ~ )x a c b a= (c) ( ~ 2) | ^ 2x a c a b= = − >