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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
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