Complete the following steps to find an equation of the tangent plane to the surface z = at 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: 1 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 F(x, y, z) == y. X wrong

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Complete the following steps to find an equation of the tangent plane to the surface z = at
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:
1
F(x, y, z)==-y. X
Step 2: Find F(x, y, z)
=
Step 3: Find F(x, y, z)
Step 4: Find F₂(x, y, z)
Step 5: Find F (1, 2, 2)
x
Step 6: Find Fy(1,2,2)
Step 7: Find F₂(1,2,2)
=
I
1
X
tule
-1
-2
= 1
= -1
wxo
The equation of the tangent plane at the given point is 2xy +-2
ng
Transcribed Image Text:Complete the following steps to find an equation of the tangent plane to the surface z = at 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: 1 F(x, y, z)==-y. X Step 2: Find F(x, y, z) = Step 3: Find F(x, y, z) Step 4: Find F₂(x, y, z) Step 5: Find F (1, 2, 2) x Step 6: Find Fy(1,2,2) Step 7: Find F₂(1,2,2) = I 1 X tule -1 -2 = 1 = -1 wxo The equation of the tangent plane at the given point is 2xy +-2 ng
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