# calculusiii

posted by
**Anonymous** on
.

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.)