Given the vector valued function r(t) = (ln t)i + (t + 2) j
a. State the domain of r(t).
b. Determine the unit Tangent and principal unit Normal vectors at t = 1.
c. Sketch the curve and the unit Tangent and Normal vectors at t = 1.
d. Determine the curvature and radius of curvature at t = 1.
e. Sketch the osculating circle at t = 1.