From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001
From: priyanka
Date: Wed, 24 Jun 2015 15:03:17 +0530
Subject: initial commit / add all books

---
 122/CH2/EX2.b.14/excB_2_14.sce | 31 +++++++++++++++++++++++++++++++
 1 file changed, 31 insertions(+)
 create mode 100755 122/CH2/EX2.b.14/excB_2_14.sce

(limited to '122/CH2/EX2.b.14/excB_2_14.sce')

diff --git a/122/CH2/EX2.b.14/excB_2_14.sce b/122/CH2/EX2.b.14/excB_2_14.sce
new file mode 100755
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+++ b/122/CH2/EX2.b.14/excB_2_14.sce
@@ -0,0 +1,31 @@
+// Exercise B-2-14
+
+// An illustration on Linearization
+// Linearize the function y = f(x) = 0.2*x^3 at x=2
+// SOLUTION : y = 2.4*x - 3.2
+
+// Let us observe graphically the linear approximation
+// and the error, and percentage error
+
+clear; clc; xdel(winsid());
+
+x = 0.05:0.05:5;
+y = 0.2 * x .^ 3;
+
+yl = 2.4 * x - 3.2 ;       // this is not a linear system!
+err = abs(y - yl);         //Error in approximation
+errpc = err ./ y  * 100;   //Percentage error 
+
+subplot(2,1,1);
+plot2d(x,y,style=2);
+plot2d(x,yl,style=3,leg="linearized system");
+xtitle('Original and linearized system','x','y');
+
+subplot(2,1,2);
+plot2d(x,err,style=5);
+xtitle('Error','x','error');
+
+scf();
+plot2d(x,errpc,style=5,rect=[1 0 3 100]);
+plot2d(x, 10 * ones(1,length(x)) ,style=2,leg="10% error margin" );
+xtitle('Percentage Error','x','% error');
-- 
cgit