Which of the following is a normal vector to the tangent plane to the surface defined by f(x, y) = 10 – 2? – y at the point P = (2, 1, 5)? Oa. There is no tangent plane to the surface at Pbecause Pis not on the surface. Ob. (2, 1, – 1) OC (4,2, –1) od. (-4, 2, 10) Oe. (8, 4, 2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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Which of the following is a normal vector to the tangent plane to the surface defined by f(x, y) = 10 – x² – y² at
the point P = (2, 1, 5)?
Oa.
There is no tangent plane to the surface at P because Pis not on the surface.
Ob.
(2, 1, – 1)
* (4, 2, –1)
Oc.
od.
(-4, 2, 10)
Oe.
(8, 4, 2)
Transcribed Image Text:Which of the following is a normal vector to the tangent plane to the surface defined by f(x, y) = 10 – x² – y² at the point P = (2, 1, 5)? Oa. There is no tangent plane to the surface at P because Pis not on the surface. Ob. (2, 1, – 1) * (4, 2, –1) Oc. od. (-4, 2, 10) Oe. (8, 4, 2)
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