The paraboloid z = 7 - x - x^2 - 2y^2 intersects the plane x = 3 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point (3, 2, -13). Use a computer to graph the paraboloid, the parabola, and the tangent line on the same screen. (Enter your answers as comma-separated lists of equations. Use t as your parameter.)
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The paraboloid z = 7 - x - x^2 - 2y^2 intersects the plane x = 3 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point (3, 2, -13). Use a
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