(a) The plane y+ =9 intersects the cylinder x+y- 25 in an ellipse, Find parametric equations for the tangent line to this ellipse at the point (4, 3, 6). (Enter your answer as a comma- separated list of equations. Let x, y, and z be in terms of t.) (b) Graph the cylinder, the plane, and the tangent line on the same screen.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
20
-20
0 y
20
20
20
20
-5
-10
10
-5
Transcribed Image Text:20 -20 0 y 20 20 20 20 -5 -10 10 -5
(a) The plane y+=9 intersects the cylinder x +y- 25 in an ellipse, Find parametric equations for the tangent line to this ellipse at the point (4, 3, 6). (Enter your answer as a comma-
separated list of equations. Let x, y, and z be in terms of t.)
(b) Graph the cylinder, the plane, and the tangent line on the same screen.
20
Transcribed Image Text:(a) The plane y+=9 intersects the cylinder x +y- 25 in an ellipse, Find parametric equations for the tangent line to this ellipse at the point (4, 3, 6). (Enter your answer as a comma- separated list of equations. Let x, y, and z be in terms of t.) (b) Graph the cylinder, the plane, and the tangent line on the same screen. 20
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