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Section 13.3: Arc Length & Curvature

Exercise 14

  1. Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P, and (b) find the point 4 units along the curve (in the direction of increasing t) from P. \(\mathbf{r}(t) = e^t\sin t \mathbf{i} + e^t\cos t \mathbf{j} + \sqrt{2}e^t\mathbf{k}, P(0, 1, \sqrt{2})\)