Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,1,1) on the surface 2x² + 3y² + z² = 12. (a) Using a coefficient of 4 for x, the equation for the tangent plane is (b) Select the equations for the normal line. OA. x=2-8t y=1-6t B. x= 1+2t y=1-6t

Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,1,1) on the surface 2x² + 3y² + z² = 12. (a) Using a coefficient of 4 for x, the equation for the tangent plane is (b) Select the equations for the normal line. OA. x=2-8t y=1-6t B. x= 1+2t y=1-6t

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Answer the given question with a proper explanation and step-by-step solution. Please provide the answer using the math tool otherwise I give the downvote.

Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,1,1) on the surface 2x² + 3y² + z² = 12.
(a) Using a coefficient of 4 for x, the equation for the tangent plane is
(b) Select the equations for the normal line.
OA. x=2-8t
y=1-6t
z=1-2t
OC. x=2t+8
y=t+6
z=t+2
OB. x=1+2t
y=1-6t
z=2+8t
OD. x=2+8t
y=1+6t
z = 1+ 2t

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Step 2: partial derivative with respect to y

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Step 3: partial derivative with respect to z

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