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Find the maximum and minimum values of the function f(x,y,z)=x+2y subject to the constraints y^2+z^2=100 and...

Find the maximum and minimum values of the function f(x,y,z)=x+2y subject to the constraints y^2+z^2=100 and x+y+z=5. I have: The maximum value is ____, occurring at (___, 5sqrt2, -5sqrt2). The minimum value is ____, occurring at (___, -5sqrt2, 5sqrt2). The x-value of both of these is NOT 1. The maximum and minimum are NOT 1+10sqrt2 and 1-10sqrt2, or my homework program is wrong.

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