Question: Use a CAS to perform the following steps. a. Plot the space curve traced out by the position vector r. b. Find the components of

Use a CAS to perform the following steps.


a. Plot the space curve traced out by the position vector r.


b. Find the components of the velocity vector dr / dt.


c. Evaluate dr / dt at the given point t0 and determine the equation of the tangent line to the curve at r(t0).


d. Plot the tangent line together with the curve over the given interval.r(t) = (ln(t + 2))i + (tan3t)j + V + 1k, -3

r(t) = (ln(t + 2))i + (tan3t)j + V + 1k, -3 t 5, to = 3

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