Create file3_Optimizing_function_w.r.t_one_constraint.py

1 files changed, 29 insertions, 0 deletions

diff --git a/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/file3_Optimizing_function_w.r.t_one_constraint.py b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/file3_Optimizing_function_w.r.t_one_constraint.py
new file mode 100644
index 0000000..bf75dd8
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/approximations-and-optimizations/Lagrange-Multipliers/file3_Optimizing_function_w.r.t_one_constraint.py
@@ -0,0 +1,29 @@
+from manimlib.imports import*
+
+class firstScene(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes()
+        cylinder = ParametricSurface(
+            lambda u, v: np.array([
+                np.cos(TAU * v),
+                np.sin(TAU * v),
+                2 * (u)
+            ]),checkerboard_colors=[YELLOW_C,YELLOW_D,YELLOW_E]
+        ).fade(0.4) #Resolution of the surfaces
+
+        plane =  ParametricSurface(
+            lambda u, v: np.array([
+                u,
+                v,
+                u+v
+            ]),checkerboard_colors=[TEAL_C,TEAL_D,TEAL_E]
+        ).scale(2.5)
+        self.add(axes)
+        self.set_camera_orientation(phi=75*DEGREES,theta=45*DEGREES)
+        self.play(Write(cylinder)) 
+        self.play(Write(plane)) 
+        self.wait(1)
+        self.begin_ambient_camera_rotation(rate=0.7)          
+        self.wait(5)
+        self.move_camera(phi=35*DEGREES,theta=-45*DEGREES)
+        self.wait(2)