Question: 2. Consider the parametric curve r(t) = (2t2, t - 1, 3 -t2), te R. (a) Find parametric equations of the tangent line to the

2. Consider the parametric curve r(t) = (2t2, t - 1,

2. Consider the parametric curve r(t) = (2t2, t - 1, 3 -t2), te R. (a) Find parametric equations of the tangent line to the curve at the point (8, 1, -1). (b) Find points on the curve where the tangent line is parallel to the plane a + y + z = 3. (c) Show that the given curve is the curve of intersection of a cylinder and a plane

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