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The value of f depends on two independent variables x and y as defined below: f(x,y)=x2+y2−x+3cos(x)sin(y) Function f...

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Mechanical Engineering

The value of f depends on two independent variables x and y asdefined below:

f(x,y)=x2+y2−x+3cos(x)sin(y)

Function f has a minimum in the neighborhood of the origin (i.e.[0 0]). Find x and y which minimize f.

Note: You are not allowed to use MATLAB built-infunctions for optimization. Follow the logic of the derivativetest:

The minimum of f occurs where:

∂f∂x=0∂f∂y=0

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