From 29d18cfc55db1775f1c34a068ba9632bf7514d27 Mon Sep 17 00:00:00 2001
From: nishanpoojary
Date: Sun, 24 May 2020 17:43:30 +0530
Subject: added scalar functions folder

---
 .../scalar_function_domain_range.py                | 132 +++++++++++++++++++++
 1 file changed, 132 insertions(+)
 create mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_domain_range.py

(limited to 'FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_domain_range.py')

diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_domain_range.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_domain_range.py
new file mode 100644
index 0000000..9b1ca7b
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/Scalar Functions/scalar_function_domain_range.py	
@@ -0,0 +1,132 @@
+# Plotting Graphs
+from manimlib.imports import *
+
+class PlotGraphs(GraphScene):
+    CONFIG = {
+    "x_min": -5,
+    "x_max": 5,
+    "y_min": 0,
+    "y_max": 4,
+    "graph_origin": ORIGIN + 2.5* DOWN,
+    "x_labeled_nums": list(range(-5, 6)),
+    "y_labeled_nums": list(range(0, 5)),
+    }
+    def construct(self):
+
+        topic = TextMobject("Domain and Range")
+        topic.scale(2)
+        topic.set_color(YELLOW)
+        self.play(Write(topic))
+        self.play(FadeOut(topic))
+        self.wait(1)
+
+
+        XTD = self.x_axis_width/(self.x_max- self.x_min)
+        YTD = self.y_axis_height/(self.y_max- self.y_min)
+
+        self.setup_axes(animate = True)
+
+        graphobj = self.get_graph(lambda x :  np.sqrt(x + 4), x_min = -4, x_max = 5)
+        graph_lab = self.get_graph_label(graphobj, label = r"\sqrt{x + 4}")
+
+
+        rangeline1 = Arrow(self.graph_origin+2.2*YTD*UP+5*XTD*LEFT, self.graph_origin+4.1*YTD*UP+5*XTD*LEFT)
+        rangeline2 = Arrow(self.graph_origin+1.7*YTD*UP+5*XTD*LEFT, self.graph_origin+5*XTD*LEFT)
+        rangeline1.set_color(RED)
+        rangeline2.set_color(RED)
+
+        rangeMsg = TextMobject(r"Range: $y \geq 0$")
+        rangeMsg.move_to(self.graph_origin+2*YTD*UP+5*XTD*LEFT)
+        rangeMsg.scale(0.5)
+        rangeMsg.set_color(YELLOW)
+
+        domainline1 = Line(self.graph_origin+0.6*YTD*DOWN+1.2*XTD*LEFT, self.graph_origin+0.6*YTD*DOWN + 4*XTD*LEFT)
+        domainline2 = Arrow(self.graph_origin+0.6*YTD*DOWN+1.1*XTD*RIGHT, self.graph_origin+0.6*YTD*DOWN + 5.3*XTD*RIGHT)
+        domainline1.set_color(PINK)
+        domainline2.set_color(PINK)
+
+        domainMsg = TextMobject(r"Domain: $x \geq -4$")
+        domainMsg.move_to(self.graph_origin+0.6*YTD*DOWN)
+        domainMsg.scale(0.5)
+        domainMsg.set_color(GREEN)
+
+
+    
+        
+        self.play(ShowCreation(graphobj))
+        self.play(ShowCreation(graph_lab))
+        self.wait(1)
+        self.play(GrowArrow(rangeline1))
+        self.play(GrowArrow(rangeline2))
+        self.play(Write(rangeMsg))
+        self.wait(1)
+        self.play(GrowArrow(domainline1))
+        self.play(GrowArrow(domainline2))
+        self.play(Write(domainMsg))
+        self.wait(3)
+
+        self.wait(2)
+
+
+
+
+class PlotSineGraphs(GraphScene):
+    CONFIG = {
+    "x_min": -8,
+    "x_max": 8,
+    "y_min": -1,
+    "y_max": 1,
+    "graph_origin": ORIGIN,
+    "x_labeled_nums": list(range(-8, 9)),
+    "y_labeled_nums": list(range(-1, 2)),
+    }
+    def construct(self):
+        
+
+
+        XTD = self.x_axis_width/(self.x_max- self.x_min)
+        YTD = self.y_axis_height/(self.y_max- self.y_min)
+
+        self.setup_axes(animate = True)
+
+        sineobj = self.get_graph(lambda x :  np.sin(x), x_min = -7, x_max = 8)
+        sine_lab = self.get_graph_label(sineobj, label = "\\sin(x)")
+
+
+        rangeline1 = Line(8*XTD*LEFT,1*YTD*UP+8*XTD*LEFT)
+        rangeline2 = Line(8*XTD*LEFT,1*YTD*DOWN+8*XTD*LEFT)
+        rangeline1.set_color(RED)
+        rangeline2.set_color(RED)
+
+        rangeMsg = TextMobject(r"Range: $-1 \leq y \leq  1$")
+        rangeMsg.move_to(1.1*YTD*UP+8.5*XTD*LEFT)
+        rangeMsg.scale(0.5)
+        rangeMsg.set_color(YELLOW)
+
+
+        domainline1 = Arrow(1.1*YTD*DOWN+2*XTD*LEFT, 1.1*YTD*DOWN + 8.5*XTD*LEFT)
+        domainline2 = Arrow(1.1*YTD*DOWN+2*XTD*RIGHT, 1.1*YTD*DOWN + 8.5*XTD*RIGHT)
+        domainline1.set_color(PINK)
+        domainline2.set_color(PINK)
+
+        domainMsg = TextMobject(r"Domain: $[-\infty, \infty]$")
+        domainMsg.move_to(1.1*YTD*DOWN)
+        domainMsg.scale(0.5)
+        domainMsg.set_color(GREEN)
+
+
+
+        self.play(ShowCreation(sineobj))
+        self.play(ShowCreation(sine_lab))
+        self.wait(1)
+        self.play(GrowArrow(rangeline1))
+        self.play(GrowArrow(rangeline2))
+        self.play(Write(rangeMsg))
+        self.wait(1)
+        self.play(GrowArrow(domainline1))
+        self.play(GrowArrow(domainline2))
+        self.play(Write(domainMsg))
+        self.wait(3)
+
+
+    
\ No newline at end of file
-- 
cgit