he paraboloid
z = 4 − x − x2 − 2y2
intersects the plane x = 4 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point
(4, 2, −24).
(Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)
1 answer
x = 4, y = 2 + t, z = -24 + 8t