Modulus Extremes of a Cubic

★ 6/10complex numbers Extrema calculus Trigonometric Identities

Problem

Let $z$ be a complex number with $|z| = 1$ . Find the maximum and minimum values of

\left|z^3 - z + 2\right|.

Answer

Solution

Difficulty	6/10
Topics	complex numbers, Extrema, calculus, Trigonometric Identities

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