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Problems on Limits
Here is a list of problems solved using the identities of limits, standard limits, limits theorem explained above....
Algebra of Limits
If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expression..
Problems on Simultaneous Equations
Solve the following Systems of linear equations : 1. If one number is thrice the other and their sum is 60, find the numbers. 2. Find the fraction which becomes 1/2 when the denominator is increased by 5 and is equal to 1/3 when the numerator is diminished by 4..
Equations Solving and Graph Problems
Question 1 - Question: Solve the following equation: 3(x-1)=8 Answer: 3(x-1)=8 3x-3=8 3x=8+3 3x=..
Ordered Pairs and Cartesian Product
In a Rectangular Cartesian System of coordinates the position of a point in a plane is determined by an ordered pair whose elements give the distances from the intersecting straight lines at right angles to each other. These lines are called the axes. The vertical line is called the Y-axis and th..
Formula
A formula is formed by using: (a) mathematical symbols and variables (b) given conditions, and (c) simplificatio..
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...
Framing of Formulae
We use alphabets like x, y, z etc., to denote variables. For example the length of a rectangle is denoted by 'l'. It takes different values in different rectangles. A formula is a relation between different variables formed using mathematical symbols. Any given condition can be translat..
Summary Simultaneous Equations
Finding the solution by the method of substitution. Finding the solution by the method of substitution. (i) Coefficients of one of the variables (say x) in the two equations are made equal, by multiplying them with suitable factors. (ii) By addition or subtraction, this variable (x) is elimina..
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 with the nu..
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