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| author | priyanka | 2015-06-24 15:03:17 +0530 |
|---|---|---|
| committer | priyanka | 2015-06-24 15:03:17 +0530 |
| commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
| tree | ab291cffc65280e58ac82470ba63fbcca7805165 /50/CH2/EX2.4 | |
| download | Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.gz Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.tar.bz2 Scilab-TBC-Uploads-b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b.zip | |
initial commit / add all books
Diffstat (limited to '50/CH2/EX2.4')
| -rwxr-xr-x | 50/CH2/EX2.4/2_4.PNG | bin | 0 -> 10551 bytes | |||
| -rwxr-xr-x | 50/CH2/EX2.4/ex_4.sce | 32 |
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diff --git a/50/CH2/EX2.4/2_4.PNG b/50/CH2/EX2.4/2_4.PNG Binary files differnew file mode 100755 index 000000000..e111288e6 --- /dev/null +++ b/50/CH2/EX2.4/2_4.PNG diff --git a/50/CH2/EX2.4/ex_4.sce b/50/CH2/EX2.4/ex_4.sce new file mode 100755 index 000000000..751cc0f5c --- /dev/null +++ b/50/CH2/EX2.4/ex_4.sce @@ -0,0 +1,32 @@ + // The equation cos(x)-x*%e^x==0 has real roots.
+ // the graph of this function can be observed here.
+xset('window',3);
+x=0:.01:2; // defining the range of x.
+deff('[y]=f(x)','y=cos(x)-x*%e^x'); //defining the cunction.
+y=feval(x,f);
+
+a=gca();
+
+a.y_location = "origin";
+
+a.x_location = "origin";
+plot(x,y) // instruction to plot the graph
+title(' y = cos(x)-x*%e^x')
+
+// from the above plot we can infre that the function has root between
+// the interval (0,1)
+
+
+// a=0;b=1,
+
+// we call a user-defined function 'bisection' so as to find the approximate
+// root of the equation with a defined permissible error.
+
+bisection(0,1,f)
+
+// since in the example 2.4 we have been asked to perform 5 itterations ,
+
+bisection5(0,1,f)
+
+
+// hence the approximate root after 5 iterations is 0.515625 witin the permissible error of 10^-4,
\ No newline at end of file |
