Question: For the vector valued function r ( t ) = ( 2 s i n 2 t ) i + ( 2 c o s

For the vector valued function r(t)=(2sin2t)i+(2cos2t)j+(3t)k,
(a)(25 points) Construct the Frenet frame at a point t:T(t),N(t), and B(t).
(b)(15 points) Determine equations representing the osculating, rectifying, and normal planes to r(t) when t=0.
(c)(10 points) Compute the arc length parametrization of r, beginning at t=0.
(d)(15 points) Determine the radius of curvature (as a scalar-valued function) for r.
Please do a and b
For the vector valued function r ( t ) = ( 2 s i

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