Question: Problem 5. Given a curve C (y = x (z = x and a plane x + 2y + z = 4. [20 pts,

Problem 5. Given a curve C (y = x (z = x

Problem 5. Given a curve C (y = x (z = x and a plane x + 2y + z = 4. [20 pts, 10 pts each] (a) Find the parametric representation of tangent to the curve C: (b) On the curve C, find all the points where the tangent line to the curve C is parallel to the given plane.

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