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What is the derivative of x times root x?
x*x1/2= x3/2 Derivative = 3/2 * x1/2
Find a c program for Bisection method?
#include#include #include#define ESP 0.001#define F(x) (x)*(x)*(x) + (x)*(x) + (x) + 7void main(){int i=1;float x0,x1,x2;double f1,f2,f0,t;clrscr( );printf( "\nEnter the value of x0: ");scanf( "%f",&x0);printf( "\nEnter the value of x1: ");scanf( "%f",&x1);printf( "\n____________________________________________\n");printf( "\niteration\tx0\tx1\tx2\tf0\tf1\tf2");printf( "\n_____________________________________________\n");do{x2= (x0+x1)/2;f0= F(x0);f1= F(x1);f2= F(x2);printf( "\n%d %f %f %f %lf %lf %lf",i,x0,x1,x2,f0,f1,f2);if (f0*f2ESP);printf( "\n________________________________________\n");printf( "\n\nApp.root = %f",x2);getch( );}
What is the meaning of the word interpolate in math?
Interpolation is usually found when studying two variables such that there is some mathematical relationship between them. The relationship need not be causal. Interpolation entails finding the value of one of the variables which corresponds to a given value of the other variable when that given value lies between two known values. Thus, if Y is y1 when X is x1 and Y is y2 when X is x2, interpolation is required to find the value of Y when X is between x1 and x2 or to find the value of X when Y is between y1 and y2.
What is the fourth root of x to the fourth power?
It is x1 which is x.
How are fractional exponents and radicals are related?
Here are some examples. x1/2 = square root of x; x1/3 = cubic root of x; in general, x1/n = nth root of x. Also, x2/3 = the square of the cubic root of x, or equivalently, the cubic root of the square of x.
