Archive for the ‘Calculus’ Category

Math Homework Help- Perfect learning solution

Online math homework help is a wonderful solution to the students in solving their problems in mathematics. If you find math problems confusing and challenging and need assistance, online math tutoring is the best solution for you. You can discuss math issues in which you need help with your math tutor and get an instant solution. Apart from basic problems, you can also get math homework help in advanced topics such as Limits, Continuity, Derivatives, Pre-Calculus, & Calculus.

The online math tutoring is provided by the professional who has years of teaching experience and aware of various tricks and techniques to make the learning process simple and comprehensive. Online math homework help is available for all students belong to different classes. Generally, tutor uses an interface to communicate with the student and whiteboard for demonstration of equations.  A professional tutor uses all measures to make the simpler as it teaching technique place a crucial role in improving the student’s learning capability and grades as well.

Online math homework help provides websites have a team of qualified professionals who are associated with reputed educational institutes. As they have spent a considerable time in the education sector, they can identify and judge the learning skills of the students effectively and provide the lecture accordingly. The ultimate motive of such practices is to make the student like the subject.

Infinite sequence

An infinite sequence is a function whose domain is the set of positive integers. For example, when n is given in turn the values 1, 2, 3, 4, … the function defined by the formula 1/(n+1) yields the sequence 1/2, 1/3, 1/4, 1/5,… The sequence is called an infinite sequence to indicate that there is no last term.

By the general or nth term of an infinite sequence, we mean a formula s(n) for the value of the function determining the sequence. The infinite sequence itself is often denoted by enclosing the general term in braces, as in {s(n)}, or by displaying hte first few terms of the sequence. For example, the general terms s(n) of the sequence in the preceding paragraph is 1/(n+1), and that sequence can be denoted by {1/(n+1)} or by 1/2, 1/3, 1/4, 1/5,…

Differentiation

A function is said to be differentiable at a point x = x(o) if the derivative of the function exists at that point. Also, a function is said to be differentiable on an interval if it is differentiable at every point of the interval. The functions of elementary calculus are differentiable, except possibly at isolated points, on their intervals of definition. If a function is differentiable, it must be continuous. The process of finding the derivative of a function is called differentiation.

Function of a variable

A function is a rule that associates, with each value of a variable x in a certain set, exactly one value of another variable y. The variable y is then called the dependent variable, and x is called the independent variable. The set from which the values of x can be chosen is called the domain of the function. The set of all the corresponding values of y is called the range of the function. Examples are below:

If f(x) = x3 – 4x + 2, then
f(1) = 13 – 4(1) + 2 = 1 – 4 + 2 = -1
f(-2) = -23 – 4 (-2) + 2 = -8 + 8 + 2 = 2
f(a) = a3 – 4a + 2

The function f(x) = 18x – 3x2 is defined for every number x; that is, without exception, 18x – 3x2 is a real number whenever x is a real number. Thus, the domain of the function is the set of all real numbers.

The area A of a certain rectangle, one of whose sides has length x, is given by A = 18x – 3x2 is a real number whenever x is a real number. Thus, the domain of the function is the set of all real numbers.

The area A of a certain rectangle, one of whose sides has length x, is given by A = 18x – 3x2. Here, both x and A must be positive. By completing the square, we obtain A = -3(x -3)2 + 27. In order to have A > 0, we must have 3(x-3)2 < 27. In order to have A > 0, we must have 3(x-3)2 < 27, which limits x to value below 6; hence, 0 < x < 6. Thus, the function determining A has the open interval (0,6) as its domain.

Powered by WordPress | Download Free WordPress Themes Online. | Thanks to WordPress Themes Free, Free WordPress Themes and Free WordPress 4 Themes