Solve the following equation for 0: Consider the following equation: Re{(1+j)}=-1 (a) How many solutions are there to this equation? √2 (b) Determine all the solutions and express your answers in polar form. (c) Sketch your solutions in the complex plane. Make sure to label the axes of your sketch. A simple linear time-invariant circuit has the frequency response given below: H(w)= == 1 1+jw Determine the output y(t) of the circuit when the input is x(t) = cos(700t).

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Solve the following equation for 0:
Consider the following equation:
Re{(1+j)}=-1
(a) How many solutions are there to this equation?
√2
(b) Determine all the solutions and express your answers in polar form.
(c) Sketch your solutions in the complex plane. Make sure to label the axes of your sketch.
A simple linear time-invariant circuit has the frequency response given below:
H(w)=
==
1
1+jw
Determine the output y(t) of the circuit when the input is x(t) = cos(700t).
Transcribed Image Text:Solve the following equation for 0: Consider the following equation: Re{(1+j)}=-1 (a) How many solutions are there to this equation? √2 (b) Determine all the solutions and express your answers in polar form. (c) Sketch your solutions in the complex plane. Make sure to label the axes of your sketch. A simple linear time-invariant circuit has the frequency response given below: H(w)= == 1 1+jw Determine the output y(t) of the circuit when the input is x(t) = cos(700t).
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