Start

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Define objective function: f$($x$)=$ x$1^2+$ x$2^2+$ x$3^2$

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Define nonlinear constraints: g$1($x$),$ g$2($x$),$ h$1($x$)$

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Set bounds: $0<=$ x$1<=5,0<=$ x$2<=3,0<=$ x$3<=3$

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Provide initial guess: x$0=[1,1,1]$

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Set solver options: Display, Algorithm

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Call fmincon to solve the optimization problem

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Display optimal solution and objective function value

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End Draw flowchart for this code