The plane x+y+z= 24 intersects the cone x2+y2= z2 in an ellipse. The goal of this...

The plane x+y+z= 24 intersects the cone x²+y²= z² in an ellipse. The goal of this exercise is to find the two points on this ellipse that are closest to and furthest away from the xy-plane. Thus, we want to optimize F(x,y,z)= z, subject to the two constraints G(x,y,z)= x+y+z= 24 and H(x,y,z)= x²+y²-z²= 0.

Expert Solution

milcah answered 2 years ago

The plane y + z = 7 intersects the cylinder x2 + y2 = 41 in...

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