Problem. Consider the helix R(t) = cos(2t)î + sin(2t)ĵ + 4tk (a) Compute R'(t) and R"(t) (b) Compute the curvature of R(t) at every point t. (c) Find an equation for the plane containing the vectors R'(t) and R"(t) and passing through the point R(t), at every point t. (Hint: Your equation for the plane will involve t's the plane changes as t varies.).

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