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Find an equation of the tangent plane to the surface x2 + 2y? + 3z2 = 6 at the point (1, 1, 1). O A. x + 2y - 3z = 6 O B. x + y + z = 3 O C.x + 4y + 9z = 14 O D. x + 2y + 3z = 6 O E. 3x + 2y + Z = 6

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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Question

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Find an equation of the tangent plane to the surface x2 + 2y? + 3z2 = 6 at the point (1, 1, 1).
O A. x + 2y - 3z = 6
O B. x + y + Z = 3
O C. x + 4y + 9z = 14
O D. x + 2y + 3z = 6
O E. 3x + 2y + Z = 6

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