Solved: Given a curve C: r(t), find a tangent vector r' (t), a unit tangent vector u'

Chapter 9, Problem 9.1.170

(choose chapter or problem)

Given a curve C: r(t). find a tangent vector r’(t), a unit tangent vector u'(t), and the tangent of C at P. Sketch the curve and the tangent.

\(\mathbf{r}(t)=[\cosh t, \quad \sinh t], \quad P:\left(\frac{5}{3}, \frac{4}{3}\right)\)

Text Transcription:

r(t)=[cosh t, sinh t], P:(5/3, 4/3)

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