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

Chapter 9, Problem 9.1.168

(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.

\(\mathbf{r}(t)=[5 \cos t, \quad 5 \sin t, \quad 0], \quad P:(4,3,0)\)

Text Transcription:

r(t)=[5 cos t, 5 sin t, 0] P: (4, 3, 0)

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