Could you please answer these three problems with clear explanation?? Find the a

Question

Could you please answer these three problems with clear explanation??

Find the absolute maxima and the absolute minima of f ( x , y ) = x 2 - y 2 + 3x, whose domain is bounded by the circle of radius 2 centered at the origin. A submarine captain wants to avoid detection by an enemy destroyer. He can do this by heading toward the coldest water. If the gradient of the temperature function of the ocean is , and the sub is at the point(2,0, l) what direction should he head to get to the coldest water the quickest? Find a point on the surface z = 2x2 + 3y 2 where the tangent plane is parallel to the plane 8x - 3y - z = 0. (The point is an ordered triple.)

Explanation / Answer

F[X,Y]=X^2-Y^2+3X

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