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  3. 2 calculations with complex numbers now let a 1 2j...

Question: 2 calculations with complex numbers now let a 1 2j...

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2. (Calculations with complex numbers) Now let a 1+ 2j and b - Vže-n4. Find the magnitude, angle (in radians), real part, and imaginary part of the following complex numbers. (a) a + b (c) a-b (d) b/a (Complex-valued functions) Operations on complex numbers can be extended to operations on complex-valued functions. (Note that addition and multiplication of functions is calculated point-by-point.) Let o be a real variable (-00<00). 3. (a) Define the complex-valued function H(o) , Plot IHC)(the magnitude of H (a)) and LH(a) (the phase of H (a)) for-4π 4T. ω (b) Now define the complex-valued function X(a) = 2jeM for ω > 0; x(a) =-zjeM for ω < 0. 4m. ω Plot IX(a)1 and LX(a) for-4m (c) Finally et Y Co)ned as in parts (e) and to)
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