calculas, Mathematics

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Example of graphical technique of linear equations, Explain the Graphical T...

Explain the Graphical Technique of Linear Equations by using this figure.

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Q. What is Combination Formula? Ans. The difference between combinations and permutations is that permutations take ordering into consideration, whereas combinations do no

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three prices are to be distributed in a quiz contest.The value of the second prize is five sixths the value of the first prize and the value of the third prize is fourfifth that of

Probability, Q)  In a lottery ,a person chooses six different natural numbe...

Q)  In a lottery ,a person chooses six different natural numbers at random 1to 20,and if there six numbers match with the six numbers already fixed by the lottery committee ,he win

Evaluate the integral, Example:   If c ≠ 0 , evaluate the subsequent integr...

Example:   If c ≠ 0 , evaluate the subsequent integral. Solution Remember that you require converting improper integrals to limits as given, Here, do the integ

Mean value theorem function, Mean Value Theorem : Suppose f (x) is a funct...

Mean Value Theorem : Suppose f (x) is a function which satisfies both of the following. 1. f ( x )is continuous on the closed interval [a,b]. 2. f ( x ) is differentiable on

Slope of tangent line, Slope of Tangent Line : It is the next major interp...

Slope of Tangent Line : It is the next major interpretation of the derivative. The slope of the tangent line to f ( x ) at x = a is f ′ ( a ) . Then the tangent line is given by,

Generate pairs of vertices at random , Generate a 1000 vertex graph adding ...

Generate a 1000 vertex graph adding edges randomly one at a time.  How many edges are added before all isolated vertices disappear?  Try the experiment enough times to determine ho

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