FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/README.md


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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)=k

![file1_Extrema_over_g(x,y)=k](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>file2_Constraint_circle_with_contour_plot_of_the_surface_x^2+y^2+x^3-y^3
 
![file2_Constraint_circle_with_contour_plot_of_the_surface_x^2+y^2+x^3-y^3](https://github.com/vnb09/FSF-mathematics-python-code-archive/blob/fsf_tasks/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/file2_Constraint_circle_with_contour_plot_of_the_surface_x%5E2%2By%5E2%2Bx%5E3-y%5E3.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](?raw=true)
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