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ast' be a binary operation on NxxN defin...

`ast`' be a binary operation on `NxxN` defined as `(a,b)ast(c,d)=(ac,bd)`
Show that `ast` is commutative.

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Let A=NtimesN , N-set of natural numbers and ' ast ' be a binary operation on A defined by (a,b)ast(c,d)=(ac-bd,ad+bc) . Show that ' ast ' is commutative on A.

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Let A=NtimesN and ast be a binary operation on A defined by (a,b)*(c,d) = (a + c,b + d) Prove that ast is commutative

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Let A=N xx N and let * be a binary operation on A defined by (a, b) * (c, d) = (a c, b d) show that (i) ( A ,*) is associative (ii)( A ,*) is commutative

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Show that the relation R on the set of natural numbers defined as R:{(...

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  2. Consider f:[3,infty)to[1,infty) given by f(x)=x^2-6x+10. Find f^-1

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  3. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

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  4. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

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  5. ast' be a binary operation on NxxN defined as (a,b)ast(c,d)=(ac,bd) ...

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  6. Show that the relation R in the set R of Real numbers defined as R={(a...

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  7. Consider f:R^+to[-5, infty) given by f(x)=9x^2+6x-5. Show that f is ...

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  8. Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=f...

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  9. Let f:R-{(-4)/3}toR be a function defined b f(x)=frac(4x)(3x+4),xne-4/...

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  10. The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} ...

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  11. The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} ...

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  12. Let A={1,2,3}. Give an example of a relation on A which is Symmetric...

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  13. Let A={1,2,3}. Give an example of a relation on A which is Transitiv...

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  14. Find fog and gof if f(x)=abs(x) and g(x)=abs(3x+4)

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  15. Find fog and gof if f(x)=16x^4 and g(x)=x^(1/4)

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  16. Consider the binary operation ast : QtoQ where Q is the set of rationa...

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  17. Consider the binary operation ast : QtoQ where Q is the set of rationa...

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  18. Consider the binary operation ast : QtoQ where Q is the set of rationa...

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  19. ast' is a binary operation on R defined as aastb=2ab Determine whe...

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  20. ast' is a binary operation on R defined as aastb=2ab Find the iden...

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