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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.
Simplify The Square root of x divided by x?
sqr.rtx/x= sqrt.x*sqr.rtx/sqr.rtx=x/x*sqrt.x=1/sqrt.x. x1/2 = x1/2 * x1/2 = x = 1 (x1/2) /x= 1/x1/2
When a variable is on top and there is a line between the other variable is it division?
no, its subtraction. if x2 is over x to the first power, the exponent at the higher value subtracts the x1. whether the x2 is above or below x1, x1 is always being subtrated from x2. X2 X(1) x __ OR __ = X or _ X(1) X2 1
What is the formula for calculating the change in the independent variable, delta x, in a mathematical function or equation?
The formula for calculating the change in the independent variable, delta x, in a mathematical function or equation is: delta x x2 - x1 Where x2 is the final value of the independent variable and x1 is the initial value of the independent variable.
What is the steepness of a line on a graph represents?
The change in the y-value over the x-value, the slope, m, (y1-y2)/(x1-x2).
How do you prove decreasing function theorem?
this is the increasing function theorem, hope it helps "If F'(x) >= 0 , and all x's are and element of [a,b], Then F is increasing on [a,b]" use Mean Value Theorem (M.V.T) Let F'(x)>=0 on some interval Let x1< x2 (points from that interval) by M.V.T there is a point C which is an element of [x1,x2] such that F(x2)-F(x1) / X2- X1 = F'(C) this implies: F(x2)-F(x1) = F'(C) X [x2-x1] F'(C)>=0 [x2-x1]>0 therefore: F(x2)>=F(x1) Therefore: F is increasing on that interval.
X plus one over x squared plus two?
it equals x1 it equals x1
What is x to the power of one?
x1 = x
What is the derivative of x times root x?
x*x1/2= x3/2 Derivative = 3/2 * x1/2
What is the proof of newton raphson iterative equation?
The proof of the Newton-Raphson iterative equation involves using calculus to show that the method converges to the root of a function when certain conditions are met. By using Taylor series expansion and iterating the equation, it can be shown that the method approaches the root quadratically, making it a fast and efficient algorithm for finding roots.
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 formula for calculating gradient?
change in Y divided by change in X. X is your field value(kilometers, miles, feet, etc) and Y is the units of your isolines(degrees, feet, meters, etc) Y2-Y1 / X2-X1 = Y2-Y1 DIVIDED BY X2-X1
What is a point slope form equation?
(y-y1)=m(x-x1) OR we can write it y=m(x-x1)+y1
