1 files changed, 32 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file4_continuity_func.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file4_continuity_func.py
new file mode 100644
index 0000000..551c8a8
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file4_continuity_func.py
@@ -0,0 +1,32 @@
+from manimlib.imports import *
+
+class ContinuityFunc(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes() 
+
+        text3d = TextMobject(r"$f(x,y) = \frac{3x^2y}{x^2 + y^2}$")
+        self.add_fixed_in_frame_mobjects(text3d)
+       
+        text3d.to_corner(UL)
+      
+        text3d.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+
+        self.play(Write(text3d))
+        self.wait(1)
+
+        continuity_func = ParametricSurface(
+            lambda u, v: np.array([
+                u*np.cos(v),
+                u*np.sin(v),
+                3*u*np.cos(v)*np.cos(v)*np.sin(v)
+            ]),u_min=-1.5,u_max=1.5,v_min=0,v_max=2*PI,checkerboard_colors=[YELLOW_C, YELLOW_E],
+            resolution=(15, 32)).scale(2)
+
+    
+
+        self.set_camera_orientation(phi=80 * DEGREES)
+        self.begin_ambient_camera_rotation(rate=0.3)
+
+        self.add(axes)
+        self.play(Write(continuity_func))
+        self.wait(8)
+\ No newline at end of file