Merge branch 'panditsomnath10016git-master'

1 files changed, 113 insertions, 0 deletions

diff --git a/FSF-2020/integrals-of-multivariable-functions/y_limit_dependent_on_x.py b/FSF-2020/integrals-of-multivariable-functions/y_limit_dependent_on_x.py
new file mode 100644
index 0000000..4894ebf
--- /dev/null
+++ b/FSF-2020/integrals-of-multivariable-functions/y_limit_dependent_on_x.py
@@ -0,0 +1,113 @@
+from manimlib.imports import *
+
+class YlimitXdependent(GraphScene):
+    CONFIG = {
+        "x_min" : 0,
+        "x_max" : 1,
+        "y_min" : 0,
+        "y_max" : 2, 
+        "x_tick_frequency" : 1,
+        "y_tick_frequency" : 1,
+        "x_labeled_nums": list(np.arange(0,2)),
+        "y_labeled_nums": list(np.arange(0 ,3)),
+        "x_axis_width": 3.5,
+        "y_axis_height": 6,
+        "graph_origin": ORIGIN+2.5*LEFT+3*DOWN,    
+    }
+
+    def construct(self):
+        X = RIGHT*self.x_axis_width/(self.x_max- self.x_min)
+        Y = UP*self.y_axis_height/(self.y_max- self.y_min)
+        
+        self.setup_axes(animate=False)
+        
+        line= self.get_graph(
+            lambda x : 2-2*x ,
+            x_min = 0,
+            x_max = 1,
+            color = RED)
+        line_eqn=TextMobject("2x+y=2").move_to(self.graph_origin+.8*X+Y).rotate(np.arctan(-2))
+        self.line=line
+        
+        caption=TextMobject(r"See the value of $y$ \\ is changing with $x$").move_to(self.graph_origin+1.2*X+1.8*Y)
+        self.play(ShowCreation(line),Write(line_eqn))
+   #     self.show_area()
+        self.show_rects()
+        self.play(Write(caption))
+        self.show_y_values_at_different_x()
+
+        self.wait(.5)
+        
+  ###################         
+    def show_area(self):
+        area = self.get_riemann_rectangles(
+            self.line, 
+            x_min = 0,
+            x_max = 1,
+            dx =.0001,
+            start_color = BLUE,
+            end_color = BLUE,
+            fill_opacity = 1,
+            stroke_width = 0,
+        )
+        self.play(ShowCreation(area))
+  #      self.transform_between_riemann_rects(self.rects,area)
+        self.area = area
+                
+    def show_rects(self):
+        rects = self.get_riemann_rectangles(
+            self.line, 
+            x_min = 0,
+            x_max = 1,
+            dx =.01,
+            start_color = BLUE,
+            end_color = BLUE,
+            fill_opacity =1,
+            stroke_width = 0,
+        )
+     #   self.play(ShowCreation(rects))
+     #   self.transform_between_riemann_rects(self.area,rects)
+        self.rects=rects 
+        
+    def show_y_values_at_different_x(self):
+        rects=self.rects
+        rect = rects[len(rects)*1//10]
+        dx_brace = Brace(rect, DOWN, buff = 0)
+        dx_label = dx_brace.get_text("$dx$", buff = SMALL_BUFF)
+        dx_brace_group = VGroup(dx_brace,dx_label)
+        rp=int(len(rects)/10)
+        rects_subset = self.rects[3*rp:5*rp]
+
+        last_rect = None
+        for rect in rects_subset:
+            brace = Brace(rect, LEFT, buff = 0)
+            y = TexMobject("y=2-2x")#.rotate(PI/2)
+            y.next_to(brace, LEFT, SMALL_BUFF)
+            anims = [
+                rect.set_fill, BLUE_E, 1,
+                dx_brace_group.next_to, rect, DOWN, SMALL_BUFF
+            ]
+            if last_rect is not None:
+                anims += [
+                    last_rect.set_fill, None, 0,
+       #             last_rect.set_fill, BLUE, .75,
+                    ReplacementTransform(last_brace, brace),
+                    ReplacementTransform(last_y, y),
+                ]
+            else:
+                anims += [
+                    GrowFromCenter(brace),
+                    Write(y)
+                ]
+            self.play(*anims)
+           # self.wait(.2)
+
+            last_rect = rect
+            last_brace = brace
+            last_y = y
+
+        y = last_y
+        y_brace = last_brace
+        
+          
+#uploaded by Somnath Pandit.FSF2020_Double_Integral