Computing the Volume of a Paraboloid | MIT 18.01SC Single Variable Calculus, Fall 2010
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Computing the Volume of a Paraboloid | MIT 18.01SC Single Variable Calculus, Fall 2010
Computing the Volume of a Paraboloid Instructor: Christine Breiner View the complete course: http://ocw.mit.edu/18-01SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
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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 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.)
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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