4. Write the following functions in the form indicated. (a) f(2)= Re(2) +2+im(2), for z ...
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4. Write the following functions in the form indicated. (a) f(2)= Re(2) +2²+im(2), for z € C; in the algebraic form there by indicating real and imaginary part of the function. (b) f(2)=4r²+i4y²; in closed form. Simplify the expression. (c) f(2)=x²-y²-2y+i(2x-2ry); in closed form. Simplify the expression. (d) f(2)=2; in polar/exponential form. (This is a multi-valued function. Impose a condition on argument to make the function a single valued function). 4. Write the following functions in the form indicated. (a) f(2)= Re(2) +2²+im(2), for z € C; in the algebraic form there by indicating real and imaginary part of the function. (b) f(2)=4r²+i4y²; in closed form. Simplify the expression. (c) f(2)=x²-y²-2y+i(2x-2ry); in closed form. Simplify the expression. (d) f(2)=2; in polar/exponential form. (This is a multi-valued function. Impose a condition on argument to make the function a single valued function).
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