X Complete the following steps to find an equation of the tangent plane to the surface z = the point (1, 2, 2): Step 1: Determine the function F(x, y, z) that describes the surface in the form F(x, y, z) = 0: Step 2: Find F(x, y, z) Step 3: Find Fy(x, y, z) Step 4: Find F₂(x, y, z) = Step 5: Find F(1, 2, 2): = Step 6: Find Fy(1, 2, 2) = Step 7: Find F₂(1, 2, 2): 1 X -1 -2 1 = -1 2 F(x, y, z) y X 11 Hon The equation of the tangent plane at the given point is 2x -y-=-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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X
Complete the following steps to find an equation of the tangent plane to the surface z =
the point (1, 2, 2):
Step 1: Determine the function F(x, y, z) that describes the surface in the form
F(x, y, z) = 0:
Step 2: Find F(x, y, z)
Step 3: Find Fy(x, y, z)
Step 4: Find F₂(x, y, z)
=
Step 5: Find F(1, 2, 2):
=
Step 6: Find Fy(1, 2, 2)
=
Step 7: Find F₂(1, 2, 2):
1
X
-1
-2
1
= -1
2
F(x, y, z)
y
X
11
Hon
The equation of the tangent plane at the given point is 2x -y-=-2
Transcribed Image Text:X Complete the following steps to find an equation of the tangent plane to the surface z = the point (1, 2, 2): Step 1: Determine the function F(x, y, z) that describes the surface in the form F(x, y, z) = 0: Step 2: Find F(x, y, z) Step 3: Find Fy(x, y, z) Step 4: Find F₂(x, y, z) = Step 5: Find F(1, 2, 2): = Step 6: Find Fy(1, 2, 2) = Step 7: Find F₂(1, 2, 2): 1 X -1 -2 1 = -1 2 F(x, y, z) y X 11 Hon The equation of the tangent plane at the given point is 2x -y-=-2
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