Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (12, 16, In 20) 3x -1+In 20 25 100

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 43E
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Find an equation of the tangent plane to the surface at the given point.
h(x, y) = In Vx2 + y², (12, 16, In 20)
3x
-1+In 20
25
100
Transcribed Image Text:Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (12, 16, In 20) 3x -1+In 20 25 100
Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated point. [Hint: Minimize f(x, y) = x2 + y2 subject to the constraint x + y = 3.]
Curve
Point
Line: x + y = 3
(0, 0)
Transcribed Image Text:Use Lagrange multipliers to find the minimum distance from the curve or surface to the indicated point. [Hint: Minimize f(x, y) = x2 + y2 subject to the constraint x + y = 3.] Curve Point Line: x + y = 3 (0, 0)
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