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Equivalence class and equivalence relation, 1. For a function f : Z → Z, le...

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

Shares and dividend, by purchasing rs.10 shares for rs.40 each mala gets 5%...

by purchasing rs.10 shares for rs.40 each mala gets 5% income on her investment. what rate of dividend is the company paying? what will be the amount of dividend if she buys 120 sh

Intrgers, how to evaluate the sums

how to evaluate the sums

What are the basic elements of reasoning, What are the Basic Elements of Re...

What are the Basic Elements of Reasoning ? There are four basic elements used in geometry. If we say studying geometry is like building a house, then these elements are like d

Abstract algebra, How many homomorphism are there from z2 to z3. Zn is grou...

How many homomorphism are there from z2 to z3. Zn is group modulo n

Negative skewness-measure of central tendency, Negative Skewness It i...

Negative Skewness It is an asymmetrical curve whether the long tail extends to the left NB: In developed countries this frequency curve for the age distribution is charact

Show that 3cos-4cos3 = 0, If sin? =  1/2 , show that 3cos?-4cos 3 ? = 0. ...

If sin? =  1/2 , show that 3cos?-4cos 3 ? = 0. Ans:    Sin ? = ½ ⇒ ? = 30 o Substituting in place of ? =30 o . We get 0.

Online tutoring, how can i find the online students ?

how can i find the online students ?

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