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(a) The plane y +z-9 intersects the cylinder x + y = 41 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (4, 5, 4). (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. -40 T M

(a) The plane y +z-9 intersects the cylinder x + y = 41 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (4, 5, 4). (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. -40 T M

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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(a) The plane y + z = 9 intersects the cylinder x + y = 41 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (4, 5, 4). (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. -40 -20 y 0 20 40 E 40 40 20 20 - 20 - 20 10 -10 -20 20 10 -10 -20 -40 |-20 y 20 40 40 40 20 20 - 20 |- 20 10 5 0 -5–10 20 10 -10
Transcribed Image Text:(a) The plane y + z = 9 intersects the cylinder x + y = 41 in an ellipse. Find parametric equations for the tangent line to this ellipse at the point (4, 5, 4). (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. -40 -20 y 0 20 40 E 40 40 20 20 - 20 - 20 10 -10 -20 20 10 -10 -20 -40 |-20 y 20 40 40 40 20 20 - 20 |- 20 10 5 0 -5–10 20 10 -10
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