Find the unit tangent and unit normal vectors T(t) and N(t) andfind the curvature.r(t) = <2 sin t, 5t, 2 cos t>
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Find a parameterization c(t) of the osculating circle to r(t)=<cos 5t, sin 5t, 2t> at t=0.
Use N(t) = [v(t)r"(t) - v'(t)r'(t)] / [||v(t)r"(t) - v'(t)r'(t)||] to find the unit normal vector N9t) of r(t)=<t-sin t, 1-cos t> at t=/2. v(t)=||r'(t)||.