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Definite Integrals
Definite Integrals - Differentiation deals with the rate of change while integration deals with the total change. The definite integrals are evaluated in problems relating to plane, areas, areas and volumes of solid of revolution etc. In this chapter, we confine ourselves to pro..
Definition and Meaning
Definition - Presence of dangerous unnatural ingredients causing imbalance in the ecosystem and health hazards to human beings and animals can be called as pollution. That is, pollution is a phenomena where natural ingredients are replaced or damaged by presence of dangerous unnatural ing..
Definite Integral
Let f (x) be a single valued continuous function defined in the interval [a,b] where b > 0 and let the interval [a,b] be divided into n equal parts each of length h, so that nh = b - a; then we define The method of evaluating by using the above definition is called integration from fir..
Let f (x) be a single valued continuous function defined in the interval [a,b] where b > 0 and let the interval [a,b] be divided into n equal parts each of length h, so that nh = b - a; then we define The method of evaluating by using the above definition is called integration from fir..Ecosystem - Definition
An ecosystem can be defined as 'a structural and functional unit of biosphere or segment of nature consisting of community of living beings and the physical environment, both interacting and exchanging materials between them'. E. P. Odum, an American ecologist, defined ecology as, 'the study of the..
An ecosystem can be defined as 'a structural and functional unit of biosphere or segment of nature consisting of community of living beings and the physical environment, both interacting and exchanging materials between them'. E. P. Odum, an American ecologist, defined ecology as, 'the study of the..Definition and Meaning
Presence of dangerous unnatural ingredients causing imbalance in the ecosystem and health hazards to human beings and animals can be called as pollutio..
Some Basic Definitions
Notation: Usually a polynomial is denoted by P(x) and if k is any number then P(k) denotes the value of P(x) at x=k. The degree of a polynomial: If a o ? 0, then the polynomial P(x) or f(x) is of degree 'n' i.e., it is the highest power of the variable x in the rational and integ..
Definition 7
A first - order first - degree differential equation is of the form If the function f turns out to be of the form f(x, y) = p(x) q(y) .(2) (i.e., the product of a function of x with a function of y, then the differential equation (1) is said to have the variable x, y separable.) In this case the..
A first - order first - degree differential equation is of the form If the function f turns out to be of the form f(x, y) = p(x) q(y) .(2) (i.e., the product of a function of x with a function of y, then the differential equation (1) is said to have the variable x, y separable.) In this case the..Definition 9:
A first-order differential equation is said to be linear if, in it, the unknown function y and its derivative y' appear with non-negative integral index not greater than one and not as product yy' either. Hence, a first-order linear differential equation is of the form: where p and q are given r..
A first-order differential equation is said to be linear if, in it, the unknown function y and its derivative y' appear with non-negative integral index not greater than one and not as product yy' either. Hence, a first-order linear differential equation is of the form: where p and q are given r..Some Important Definitions
Median : In a triangle, a line joining the midpoint of a side to the opposite vertex is called a media..
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