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<h1><div align=”center”><b>SubTopic: Lagrange Multipliers</b></h1></div>
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<tab>file1_Extrema_over_g(x,y)
 
![file1_Extrema_over_g(x,y)](https://github.com/vnb09/FSF-mathematics-python-code-archive/blob/fsf_tasks/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/file1_Extrema_over_g(x%2Cy)%3Dk.gif?raw=true)
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<tab>file3_Geometric_Proof
 
![file3_Geometric_Proof](https://github.com/vnb09/FSF-mathematics-python-code-archive/blob/fsf_tasks/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/file3_Geometric_Proof.gif?raw=true)
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<tab>file4_Constraints_g_and_h

![file4_Constraints_g_and_h](https://github.com/vnb09/FSF-mathematics-python-code-archive/blob/fsf_tasks/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/file4_Constraints_g_and_h.gif?raw=true)
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