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7. [4 marks] Consider the parametric curve defined by a(s) = e(s*+s), y(s) = 2s and z(s) = 582 + 8. (a) Find the tangent

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7. [4 marks] Consider the parametric curve defined by a(s) = e(s*+s), y(s) = 2s and z(s) = 582 + 8. (a) Find the tangent vector to the parametric curve r(s) = (x(s), y(s), z(s)). (b) Find the equation of the tangent line to the curve at the point (1, 0, 8)

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