- - Consider the surface x² + y² + 2xy − 3x + 2y – 2z = 2. Determine the following: (a) the general equation of the tangent plane to the surface at the point (1, 2, - 4). (b) the parametric equations of the normal line to the surface at the point (1, 2, 4).

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the surface x² + y + 2xy − 3x + 2y – 2z = = 2.
Determine the following:
(a) the general equation of the tangent plane to the
surface at the point (1, 2, 4).
-
(b) the parametric equations of the normal line to the
surface at the point (1, 2, - 4).
Transcribed Image Text:Consider the surface x² + y + 2xy − 3x + 2y – 2z = = 2. Determine the following: (a) the general equation of the tangent plane to the surface at the point (1, 2, 4). - (b) the parametric equations of the normal line to the surface at the point (1, 2, - 4).
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