Find an equation of the plane tangent and an equation of the line normal to the surface 7z = 4x² - 2y at (-2,1,-2)
Find an equation of the plane tangent and an equation of the line normal to the surface 7z = 4x² - 2y at (-2,1,-2)
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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Please solve the problems provided in the photo provided below
![Find an equation of the plane tangent and an equation of the line normal to the surface
7z = 4x² - 2y at
(-2,1,-2)
Find all the critical points of z =
minimum or saddle point.
4
+ X
x
+
2
IN
y
- xy. Identify each point as a local maximum or
T
Find the parametric equations of the tangent line to the curve of intersection of the surfaces
x² - y² + z² = 17, 5x - 4y -z = 0 at (2,3,-2).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9981eaaa-92cc-40db-b668-6adab491a4d6%2Ff4f66321-053f-4cdf-b45c-aa47264edff6%2F1hlm0mk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find an equation of the plane tangent and an equation of the line normal to the surface
7z = 4x² - 2y at
(-2,1,-2)
Find all the critical points of z =
minimum or saddle point.
4
+ X
x
+
2
IN
y
- xy. Identify each point as a local maximum or
T
Find the parametric equations of the tangent line to the curve of intersection of the surfaces
x² - y² + z² = 17, 5x - 4y -z = 0 at (2,3,-2).
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