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Determine whether or not each of the def...

Determine whether or not each of the definitions of `**` given below gives a binary operation. In the event that `**` is not a binary operation, give justification for this
on `R`, define `**` by `a**b=ab^2`

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Verified by Experts

For any two real numbers a and b, `ab^2` is a unique real number
`therefore **` is a binary operation
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A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Determine whether or not each of the definitions of ** given below giv...

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  2. Determine whether or not each of the definitions of ** given below giv...

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  3. Determine whether or not each of the definitions of ** given below giv...

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  4. Determine whether or not each of the definitions of ** given below giv...

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  5. Determine whether or not each of the definitions of ** given below giv...

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  6. For each binary operation ** defined below, determine whether ** is co...

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  7. For each binary operation ** defined below, determine whether ** is co...

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  8. For each binary operation ** defined below, determine whether ** is co...

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  9. For each binary operation ** defined below, determine whether ** is co...

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  10. For each binary operation ** defined below, determine whether ** is co...

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  11. For each binary operation ** defined below, determine whether ** is co...

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  12. Consider the binary operation ^^ on the set {1,2,3,4,5} defined by a^^...

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  13. Consider the binary operation ** on the set A= {1,2,3,4,5} given by th...

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  14. Consider the binary operation ** on the set A= {1,2,3,4,5} given by th...

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  15. Consider the binary operation ** on the set A= {1,2,3,4,5} given by th...

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  16. Let **' be the binary operation on the set {1,2,3,4,5} defined by a**'...

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  17. Let **' be the binary operation on N given by a**'b= L.c.m. of a and b...

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  18. Let **' be the binary operation on N given by a**'b= L.c.m. of a and b...

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  19. Let **' be the binary operation on N given by a**'b= L.c.m. of a and b...

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  20. Let **' be the binary operation on N given by a**'b= L.c.m. of a and b...

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