Maxima and minima

The bisection method is a very simple method. It is the method to calculate the root of the function. The only disadvantage of the bisection method is that it is very slow for calculation. Because this method is very slow that is why it is used as a starting point to obtain the approximate value […]

Cramer’s rule formula is a mathematical principle that states that if a variable increases by a given percentage, the variable’s value will increase by the same percentage. It must be understood that when the coefficient determinant is not zero, Cramer’s rule kicks in and is applied. Cramer’s rule isn’t customarily taught this way, but it’s

Introduction Order of reaction is defined as the sum of exponents of concentration in a rate law.It refers to the power dependence of the rate on the concentration of each reactant. Zero-order reactions are typically found when a material necessary to proceed with the reaction, such as a surface or a catalyst, is saturated with

To distribute something is to split it or to give someone a piece or a portion of it. As per distributive property, multiplying the sum of two or more addends by a number yields the same result as multiplying each addend by the number individually and then putting the products together. The way total output,

This discussion centres on the procedure for determining the highest and lowest possible values of a function within a particular domain, as suggested by the topic’s name. It is applicable to almost every area of work as well as every field of study. Let’s learn more about the highest and lowest points associated with this

Sturm’s theorem is less efficient than other methods based on Descartes’ rule of signs for computing over the reals. However, because it works on every real closed field, it is still important for the theoretical study of the computational difficulty of decidability and quantifier elimination in first-order real-number theory. Sturm theorem differential equations The Sturm

This approach is named after Thomas Simpson (1710–1761), an English mathematician. One of the numerical approaches for evaluating the definite integral is Simpson’s rule. To get the definite integral, we usually employ the fundamental theorem of calculus, which requires us to use antiderivative integration techniques. However, in other cases, such as in Scientific Experiments, where

By giving the value +1 to each positive input value and the value -1 to any negative input value, the Signum function may be used to identify the sign of a real value function. In the fields of physics, engineering, and artificial intelligence, where it is most commonly used for prediction, the signum function has

Rolle’s Theorem is a specific example of Lagrange’s mean value theorem, which asserts that if a function f is defined in the closed interval [a, b] in such a way that it satisfies the following requirements, then the function f is said to satisfy the mean value theorem. 1)  The function f is continuous on

A partial differential equation in mathematics is an equation that imposes relationships between the various partial derivatives of a multivariable function. The function is frequently referred to as an “unknown” that must be solved for, in the same way that x is referred to as an “unknown” number that must be solved for in an