ind a formula for a vector normal to the plane tangent to f(x,y) at (xo, Yo).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 22RE
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Tangent Planes and Linear Approximation
Recall from Calculus 3 that the vector(a, b, c) is normal to the plane with the equation
ax + by + cz = d.
Find a formula for a vector normal to the plane tangent to f(x,y) at (xo,Yo).
Transcribed Image Text:Tangent Planes and Linear Approximation Recall from Calculus 3 that the vector(a, b, c) is normal to the plane with the equation ax + by + cz = d. Find a formula for a vector normal to the plane tangent to f(x,y) at (xo,Yo).
Hint: Your final answer to this problem should be a 3D vector. Try taking the formula for the tangent plane and rewriting it in the
form ax + by + cz = d. The values of a, b, and c in this equation will then become the components of your answer
<а, b, с >.
Transcribed Image Text:Hint: Your final answer to this problem should be a 3D vector. Try taking the formula for the tangent plane and rewriting it in the form ax + by + cz = d. The values of a, b, and c in this equation will then become the components of your answer <а, b, с >.
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