Show that if a curve in the w-plane is parameterized by w w(t), a t b, and arg w(t) is
Chapter 20, Problem 14(choose chapter or problem)
Show that if a curve in the w-plane is parameterized by \(w=w(t)), \(a \leq t \leq b\), and arg \(w^{\prime}(t)\) is constant, then the curve is a line segment. [Hint: If \(w(t)=u(t)+i v(t)\), then \(\tan \left(\arg w^{\prime}(t)\right)=d v / d u\).]
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