Finding the Tangent Equation of a Scalar Field at (1,3,3) - Get Help Here

[andrey21]

Find the equation of the tangent to the level surface of the scalar field

theta(x,y,z) =8x^(2) + y^(2) + 3z^(2)



At the point (1,3,3)

Unsure as where to begin would really like to work through this with someone, thank you

 

[gomunkul51]

you need to find the tangent plane to this scalar field levels?

Find the normal vector (A,B,C) to this field at each level surface and it will give you the plane equation of the form Ax + By + Cz = D. Find D from the point data and the field equation.

**try to go back and read and solve problems from your textbook about tangent planes to level surfaces, otherwise you will not remember in a couple of days what to do.