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Let f : R n > R and h : R n > R such that f ( x ) = i = 1 n

Let f:Rn>R and h:Rn>R such that f(x)=i=1nxi2 and h(x)=i=1nxi .

Determine the solution set for each of the optimization problems below:

a) minimize f(x) bject to h(x)=1

b) minimize h(x) bject to f(x)=1

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