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Section 13.2: Derivatives and Integrals of Vector Functions

Exercise 32

  1. Find the point of intersection of the tangent lines to the curve \(\mathbf{r}(t) = \langle \sin \pi t, 2\sin \pi t, \cos \pi t \rangle\) at the points where \(t=0\) and \(t=0.5\).
  2. Illustrate by graphing the curve and both tangent lines.