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he paraboloid z = 6 - x - x² - 2y² intersects the plane x = 3 in a parabola. Find parametric equations in terms of t for the angent line to this parabola at the point (3, 3, -24). (Enter your answer as a comma-separated list of equations. Let x, y, and z be n terms of t.)

he paraboloid z = 6 - x - x² - 2y² intersects the plane x = 3 in a parabola. Find parametric equations in terms of t for the angent line to this parabola at the point (3, 3, -24). (Enter your answer as a comma-separated list of equations. Let x, y, and z be n terms of t.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The paraboloid z = 6 - x - x² – 2y² 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, 3, -24). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)
Transcribed Image Text:The paraboloid z = 6 - x - x² – 2y² 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, 3, -24). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)
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