3. (a) Draw all complex numbers ( z ) such that ( operatorname{Re} left(z^{2}-1 right) leq 0 ) and ( operatorname{Im} left(z^{2}-1 right)=0 ). (b) Explain that (a) gives the branch cut of the principal value of ( left(z^{2}-1 right)^{ frac{1}{2}} ).

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3. (a) Draw all complex numbers  ( z  ) such that  (  operatorname{Re} left(z^{2}-1 right)  leq 0  ) and  (  operatorname{Im} left(z^{2}-1 right)=0  ). (b) Explain that (a) gives the branch cut of the principal value of  (  left(z^{2}-1 right)^{ frac{1}{2}}  ).

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Expert Answer to -   3. (a) Draw all complex numbers  ( z  ) such that  (  operatorname{Re} left(z^{2}-1 right)  leq 0

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Solution for -   3. (a) Draw all complex numbers  ( z  ) such that  (  operatorname{Re} left(z^{2}-1 right)  leq 0

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(Solved): 3. (a) Draw all complex numbers \( z \) such that \( \operatorname{Re}\left(z^{2}-1\right) \leq 0 ...

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