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The paraboloid z = 6 - x - x² - 2y2 intersects the plane x = 1 in a parabola. Find parametric equations for the tan- gent line to this parabola at the point (1, 2, −4). Use a com- puter to graph the paraboloid, the parabola, and the tangent line on the same screen.

The paraboloid z = 6 - x - x² - 2y2 intersects the plane x = 1 in a parabola. Find parametric equations for the tan- gent line to this parabola at the point (1, 2, −4). Use a com- puter to graph the paraboloid, the parabola, and the tangent line on the same screen.

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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I want to ask why should I differentiate function z with y, not other variables, while calculating the answer of this question.
94. The paraboloid z = 6 - x - x² - 2y² intersects the plane x = 1 in a parabola. Find parametric equations for the tan- gent line to this parabola at the point (1, 2, −4). Use a com- puter to graph the paraboloid, the parabola, and the tangent line on the same screen.
Transcribed Image Text:94. The paraboloid z = 6 - x - x² - 2y² intersects the plane x = 1 in a parabola. Find parametric equations for the tan- gent line to this parabola at the point (1, 2, −4). Use a com- puter to graph the paraboloid, the parabola, and the tangent line on the same screen.
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