Consider following parametric equations for a curve. x = e cos(7t), y e -7t sin(7t), z = e-7t -7t Determine the value of t that corresponds to the point (1, 0, 1). t= Write a vector equation r(t) for the given curve. r(t) = Find r'(t). r'(t) = Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = e cos(7t), y e -7t sin(7t), z=et, (1, 0, 1) -7t (x(t), y(t), z(t)) =

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