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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
+<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)
+<br/></br>
+<br/></br>
-![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)
+<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)
<br/></br>
<br/></br>
-<tab>file2_Geometric_Proof
+<tab>file3_Geometric_Proof
-![file2_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/file2_Geometric_Proof.gif?raw=true)
+![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)
<br/></br>
<br/></br>
-<tab>file3_Constraints_g_and_h
+<tab>file4_Constraints_g_and_h
-![file3_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/file3_Constraints_g_and_h.gif?raw=true)
+![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)
<br/></br>
<br/></br>