initial commit / add all books

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diff --git a/50/CH2/EX2.9/2_9.PNG b/50/CH2/EX2.9/2_9.PNG
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diff --git a/50/CH2/EX2.9/ex_9.sce b/50/CH2/EX2.9/ex_9.sce
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+                                   // The equation cos(x)-x*%e^x==0 has  real roots.

+                                   // the graph of this function can be observed here.

+xset('window',8);                                   

+x=-1:.001:2;                                             // defining the range of x.

+deff('[y]=f(x)','y=cos(x)-x*%e^x');                  //defining the cunction.

+deff('[y]=fp(x)','y=-sin(x)-x*%e^x-%e^x');

+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,

+

+

+

+            // solution by newton raphson's method with a permissible error of 10^-8.

+

+

+// we call a user-defined function 'newton' so as to find the approximate 

+// root of the equation within the defined permissible error limit.  

+

+newton(1,f,fp)

+

+

+

+

+

+// hence the approximate root witin the permissible error of 10^-8 is 0.5177574. 
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