summaryrefslogtreecommitdiff
path: root/FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py
diff options
context:
space:
mode:
authorPurusharth S2020-05-23 18:57:11 +0530
committerPurusharth S2020-05-23 18:57:11 +0530
commitfe5e18510140b3e02f3f6f03ad449c218f1b8579 (patch)
treea3d204b56e34d19c6d7ddfaeaf8136faaff1f298 /FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py
parent94c40fe490487efcba7c3cc9df0153e86bcab26a (diff)
downloadFSF-mathematics-python-code-archive-fe5e18510140b3e02f3f6f03ad449c218f1b8579.tar.gz
FSF-mathematics-python-code-archive-fe5e18510140b3e02f3f6f03ad449c218f1b8579.tar.bz2
FSF-mathematics-python-code-archive-fe5e18510140b3e02f3f6f03ad449c218f1b8579.zip
add topic-name folder
Diffstat (limited to 'FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py')
-rw-r--r--FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py113
1 files changed, 0 insertions, 113 deletions
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py
deleted file mode 100644
index 4894ebf..0000000
--- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/y_limit_dependent_on_x.py
+++ /dev/null
@@ -1,113 +0,0 @@
-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