2. (a) Find an equation of the tangent plane to the surface x4 +y4 +z4 =...

2.

(a) Find an equation of the tangent plane to the surface x⁴ +y⁴ +z4 = 18 at (2, 1, 1). Find a derivative in direction (2,2,1) at point (2,1,1). (b) Use Lagrange multipliers to ﬁnd the minimum and maximum values of f(x,y,z) = 8x + y + z on the surface x⁴ + y⁴ + z4 = 18.

Expert Solution

milcah answered 2 years ago

12a Find an equation of the tangent plane to the surface ? = 2? 2 +...

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