Determine the unit tangent and principal unit normal vectors

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Reference no: EM131014293

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.

Reference no: EM131014293

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