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A smooth vector-valued function R(t) satisfies R(1) = (1, 1,-2), R'(1) = (-2,0, 4) and "(1) = (3,-1,1). (a) Find the vector equation of the tangent line to the graph of Ŕ(t) at t = 1. (b) Evaluate (R. R')'(1). (c) Find (1) if (t) = (t²,−1,3t) × R¹(t).
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Transcribed Image Text:A smooth vector-valued function R(t) satisfies R(1) = (1, 1,-2), R'(1) = (-2,0, 4) and "(1) = (3,-1,1). (a) Find the vector equation of the tangent line to the graph of Ŕ(t) at t = 1. (b) Evaluate (R. R')'(1). (c) Find (1) if (t) = (t²,−1,3t) × R¹(t).
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