6.4: Exercises- Complex Numbers, Vectors, and Functions
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Express |ez| in terms of x and/or y.
Confirm that eln(z)=z and ln(ez)=z
Find the real and imaginary parts of cos(z) and sin(z)
Show that cos2(z)+sin2(z)=1
With zw≡ewln(z) for complex z and w compute √i
Verify that cos(z) and sin(z) satisfy the Cauchy-Riemann equations and use the proposition to evaluate their derivatives.
Submit a Matlab diary documenting your use of residue in the partial fraction expansion of the transfer function of
B=(200−1400−12)