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  3. 2. (a) find an equation of the tangent plane to th

2. (a) Find an equation of the tangent plane to the surface x4 +y4 +z4 = 18...

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Basic Math

2.

(a) Find an equation of the tangent plane to the surfacex4 +y4 +z4 = 18 at (2, 1, 1). Find aderivative in direction (2,2,1) at point (2,1,1). (b) Use Lagrangemultipliers to find the minimum and maximum values of f(x,y,z) = 8x+ y + z on the surface x4 + y4 + z4 = 18.

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