(Solved): The plane y + z = 5 intersects the cylinder x2 + y2 = 8 in an ellipse. Find parametric equation ...

The plane y + z = 5 intersects the cylinder x2 + y2 = 8 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (2, 2, 3). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.) (b) Graph the cylinder, the plane, and the tangent line on the same screen.