The vector is direction one point to another point. The vector equation of a line is r = a + tb. In this equation, “a” represents position vector and “b” represents a direction vector of the line. Moreover “r” represents the vector of any general point on the line and “t” is constant. Hence it is similar to equation of line
vector.pdfDifferentiation is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. Differentiation
Average rate of change of a function f(x) on an interval [a,b] is the slope of the secant line . The instantaneous rate of change of f(x) at x=a is the slope of the tangent line. Therefore the slope of the line measures the average rate of change of the function and can be found from any two points on […]
An equation that relates one or more functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change. Therefore , differential equation defines a relationship between the two. Differential Eq.
