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The tangent line to a smooth curve r(t) = f(t)i + g(t)j + h(t)k at t = to is the line that passes through

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The tangent line to a smooth curve r(t) = f(t)i + g(t)j + h(t)k at t = to is the line that passes through the point (f(to).9 (to).h (to)) parallel to v (to), the curve's velocity vector at to. Use r (to) and r' (') to find parametric equations for the line that is tangent to the given curve at the given parameter value t-to- r(t)= t+8 ()() k, to = 7 What is the standard parametrization for the tangent line? x A Z = (Type expressions using t as the variable

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