3. Consider the complex number w=3−3i2−6+(2+6)i (a) Calculate the real and imaginary parts of w. (b) Calculate th
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3. Consider the complex number w=3−3i2−6+(2+6)i (a) Calculate the real and imaginary parts of w. (b) Calculate th
3. Consider the complex number w=3−3i2−6+(2+6)i (a) Calculate the real and imaginary parts of w. (b) Calculate the ∣w∣ and Arg(w), and hence express w in polar form. (c) Find all solutions to the equation (z3−(wˉ)3)(z3−(w^)3)=0, where w^=∣w∣w. Express your answers in exponential form and plot them on an Argand diagram.
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