Find the point on the graph of z = - (2x² + y²) at which vector n = P = (-12, -10, -1) is normal to the tangent plane.
Find the point on the graph of z = - (2x² + y²) at which vector n = P = (-12, -10, -1) is normal to the tangent plane.
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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![Find the point on the graph of \( z = -(2x^2 + y^2) \) at which vector \( \mathbf{n} = \langle -12, -10, -1 \rangle \) is normal to the tangent plane.
\[ P = \boxed{} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1858a710-c111-4513-9004-6c10bf7d1d6e%2F8b8fe444-f760-4f9d-8b3f-36d1640bd84a%2Fg4e9gbr_processed.png&w=3840&q=75)
Transcribed Image Text:Find the point on the graph of \( z = -(2x^2 + y^2) \) at which vector \( \mathbf{n} = \langle -12, -10, -1 \rangle \) is normal to the tangent plane.
\[ P = \boxed{} \]
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