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On the set R of real numbers, a binary o...

On the set R of real numbers, a binary operation o is defined by `a0b=a+b+a^2b` `AA a, b inR`. Prove that the operation is neither commutative nor associative.

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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
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  2. Determine if the binaary operation o on the set R of real numbers defi...

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  3. On the set R of real numbers, a binary operation o is defined by a0b=a...

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  4. Find the idenity and inverse if any for the binary operation ** on Q-{...

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  5. Find the identity elements if any for the binary operations defined by...

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  6. Find the identity elements if any for the binary operations defined by...

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  15. If cos^-1x+cos^-1y+cos^-1z=pi, prove that x^2+y^2+z^2+2xyz=1.

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  16. Slove: tan(cos^-1x)=sin(cot^-1""1/2)

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