Find the equation for the tangent plane to the surface x2 - 5xyz + y² = 7z2 at the point (-1, -1, -1).
Find the equation for the tangent plane to the surface x2 - 5xyz + y² = 7z2 at the point (-1, -1, -1).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 24E
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Question
![Solve the problem.
Find the equation for the tangent plane to the surface x2 - 5xyz + y2 = 7z2 at the point (-1, -1, -1).
-7x - 7y + 9z = 5
x + y +z = 5
x + y +z = 1
-7x - 7y + 9z = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55539df4-c084-484c-ab6b-884713aad2dd%2F6f262ef9-46f6-4dec-82e4-9824db641ac0%2F10hqt3a_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the problem.
Find the equation for the tangent plane to the surface x2 - 5xyz + y2 = 7z2 at the point (-1, -1, -1).
-7x - 7y + 9z = 5
x + y +z = 5
x + y +z = 1
-7x - 7y + 9z = 1
![of
Sx
Sf
Find
and
f(x, y) = In
= -In
= In
-In
= In
II
II
II
II
II
II
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F55539df4-c084-484c-ab6b-884713aad2dd%2F6f262ef9-46f6-4dec-82e4-9824db641ac0%2Fw4yaqwl_processed.png&w=3840&q=75)
Transcribed Image Text:of
Sx
Sf
Find
and
f(x, y) = In
= -In
= In
-In
= In
II
II
II
II
II
II
II
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