Exercise 13

  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. \(\mathbf{r}(t) = (5-t)\mathbf{i} + (4t-3)\mathbf{j} + 3t\mathbf{k}, P(4, 1, 3)\)