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Example of developing an understanding, In class 1, the teacher had written...

In class 1, the teacher had written down the digits 0,1, ...., 9 on the board. Then she made all the children recite the corresponding number names. Finally, she made them write th

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Proof of Limit Comparison Test As 0  Now, as   we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer

Substitution rule, Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (...

Substitution Rule ∫ f ( g ( x )) g′ ( x ) dx = ∫ f (u ) du,     where, u = g ( x ) we can't do the following integrals through general rule. This looks considerably

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Question: Use  Gauss elimination method to solve the following system of equations.  -y +3z=4  2x-y-2z= 2  2x-2y+z =6  4x-y-7z= 0

Algebra, solve x+y= 7 and x-y =21

solve x+y= 7 and x-y =21

Find no. of diagonals, In a polygon no 3 diagnols are concurrent. If the to...

In a polygon no 3 diagnols are concurrent. If the total no of points of intersection are 70 ( interior ). find the no. of diagnols? Ans) Since no 3 diagonals are concurrent, There

what is probability that point will be chosen from triagle, In the adjoini...

In the adjoining figure ABCD is a square with sides of length 6 units points P & Q are the mid points of the sides BC & CD respectively. If a point is selected at random from the i

Circle, #question when equation of tangent T=0 and why

#question when equation of tangent T=0 and why

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Seriation :  You have read about a preschooler's ability to order. Ordering a set of objects means to arrange them in a sequence according to some rule. This arrangement could be

Find the area irrigated by this system, An irrigation system uses a straigh...

An irrigation system uses a straight 30m sprinkler pipe which is capped at one end and arranged so that all water is released directly downwards and pivots around a central point.

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