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) = (sin 2t)i + (ln(1 + t))j + tk, 0t 4T, to = /4