Real Functions and their Graphs
Real Function: A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real..
Real Function: A real valued function f : A to B or simply a real function 'f ' is a rule which associates to each possible real number x A, a unique real number f(x) B, when A and B are subsets of R, the set of real..Addition property
If any number is added to both sides of an equation, then the equality of the equation remains unchanged. i.e., if x = y then x + a = y ..
Conclusion
Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers...
Linear Inequations Conclusion
Conclusion - Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable with the number line and properties of numbers.Linear inequations denote a user-friendly branch of mathematics which enables us to be very comfortable w..
Quadratic Equations
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..
Limits (Contd....)
Limits at infinity: If x is a variable such that it can take any real value how much ever The two important properties of these one-sided limits that i) If the left hand limit and right hand limit of a function at a point exists, but are not equal, then we con..
Limits at infinity: If x is a variable such that it can take any real value how much ever The two important properties of these one-sided limits that i) If the left hand limit and right hand limit of a function at a point exists, but are not equal, then we con..Quadratic Equations Introduction
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers..
Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers..Note 3:
We say that because both left hand limit and right hand limit are finite and equal. If there exists a real number l such that if |f (x) - l| can be made as small as we possible by taking x sufficiently close to a, then l is called the limit of f (x) as x tends to 'a'...
We say that because both left hand limit and right hand limit are finite and equal. If there exists a real number l such that if |f (x) - l| can be made as small as we possible by taking x sufficiently close to a, then l is called the limit of f (x) as x tends to 'a'...General Rules
If a > b, then we have the following rules: a + l > b + l for any l R a - l > b - l for any l R - a < - b l a > l b for any positive real number l l a < l b for any negative real number l..
If a > b, then we have the following rules: a + l > b + l for any l R a - l > b - l for any l R - a < - b l a > l b for any positive real number l l a < l b for any negative real number l..Simultaneous Equations
Simultaneous Equations - A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the t..
Simultaneous Equations - A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the t..See what our Users say :
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