Complexity

The questions below are due on Thursday September 18, 2025; 02:00:00 PM.
 
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Determine the real and imaginary parts of each of the following expressions. Enter your answer as a Python expression, which can depend on pi, e, and/or sqrt.

3e^{j\pi/3} + 4e^{-j\pi/6}
 
  

  

\left( \sqrt{3} + j\right)^{11}
 
  

  

\sqrt{-j}
 
  

  

\left(\sqrt{2}e^{j\pi/2} + \sqrt{2}e^{j\pi/4} + \frac{2}{\sqrt{2}}e^{j5\pi/4} + \frac{1}{\sqrt{2}}e^{j\pi} - \frac{1}{\sqrt{2}}j \right)^{218}