Question: a ) Find the points at which f ( x , y , z ) = x + y is maximum and minimum subject to

a) Find the points at which f(x,y,z)=x+y is maximum and minimum subject to the constraint x2+y2+z2=1 and give a geometric explanation.
b) Find the point on the plane x+y+z=1 that is closest to the point (1,0,-2) and verify that that is indeed the closest.
a ) Find the points at which f ( x , y , z ) = x

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