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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

If g(x, y) = x² + y² - 6x, find the gradient vector Vg(1,6).
Vg(1, 6) =
Use the gradient vector Vg(1, 6) to find the tangent line to the level curve g(x, y) = 31 at the point (1, 6).
Sketch the level curve, the tangent line, and the gradient vector.
y
15
-5
15
10
5
10
@O
-5
15
10
5
/10
15
GO
-5
y
15
10
5
5
10
15
15
10
5
5
10
15
X

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