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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:

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 77E: Find the equation of the line perpendicular to the line y=3 and passing through the midpoint of the...
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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:
Transcribed Image Text: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:
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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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