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maths on
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f(x)=x ^2 +bx+c , b and c real .Find the minimum of (maxf(x))for x∈[−10,10]?

maths 
Steve,
f(x) = x^2  100
has maximum value of 0 in [10,10]
For any b,c note equal to (0,100), the max of f(x) will be nonzero.
So, min(max(f(x))) = 0

maths 
Anonymous,
50