Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2, 1, 1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x, y, z) and give the equation in terms of x, y, and z.) equation:

Find an equation of the tangent plane to the surface at the given point. 6x² + 2y² + 4z² = 30, P= (2, 1, 1) (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x, y, z) and give the equation in terms of x, y, and z.) equation:

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 44E

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Question

Find an equation of the tangent plane to the surface at the given point.
6x? + 2y? + 4z2 = 30, P= (2, 1, 1)
(Express numbers in exact form. Use symbolic notation and fractions where needed. Let f(x, y, z) and give the equation in terms
of x, y, and z.)
equation:

Expert Solution

Step 1

NOTE: Refresh your page if you can't see any equations.

$6x^2+2y^2+4z^2=30$

$6x^2+2y^2+4z^2-30=0$

the function f is

$f=6x^2+2y^2+4z^2-30$

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