What is the equation of the tangent plane to the graph of 3x²+4y²-2²=3 at the point (1,1,2) ? 03 1 √x+2y== O 6x+8y-2z = 6 O√3x+2y-z = √3 6x+8y-4: = 6 z = 3
What is the equation of the tangent plane to the graph of 3x²+4y²-2²=3 at the point (1,1,2) ? 03 1 √x+2y== O 6x+8y-2z = 6 O√3x+2y-z = √3 6x+8y-4: = 6 z = 3
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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Transcribed Image Text:**Question:**
What is the equation of the tangent plane to the graph of \(3x^2 + 4y^2 - z^2 = 3\) at the point \((1, 1, 2)\)?
**Options:**
- ○ \(\frac{3}{2} x + 2y - \frac{1}{2} z = 3\)
- ○ \(6x + 8y - 2z = 6\)
- ○ \(\sqrt{3x + 2y} - z = \sqrt{3}\)
- ○ \(6x + 8y - 4z = 6\)
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