The paraboloid z = 3 - x - x² - 3y2 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, -29). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The paraboloid z = 3 – x − x² − 3y² 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, −29). (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 = 3 – x − x² − 3y² 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, −29). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.)
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