Solved: Given a curve C: r(t), find a tangent vector r' (t), a unit tangent vector u'
Chapter 9, Problem 9.1.169(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.
\(\mathbf{r}(t)=\left[\begin{array}{lll} 3 \cos t, & 3 \sin t, & 4 t \end{array}\right], \quad P:(3,0,8 \pi) \)
Text Transcription:
r(t)=[3 cos t, 3 sin t, 4t]. P: (3, 0, 8 pi)
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