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Let S = N xx Nand ast is a binary operat...

Let `S = N xx N`and `ast` is a binary operation on S defined by `(a,b)^**(c,d)` = (a+c, b+d) for all `a,b,c,d in N`.Prove that `**` is an associate binary operation on S.

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UNITED BOOK HOUSE-SET 14-EXERCISE
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  2. The S.D. of a binomial distribution with parameteres n and p is

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  3. Let S = N xx Nand ast is a binary operation on S defined by (a,b)^**(c...

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  4. Prove that, 2 sin^(-1)x = sin^(-1) (2x sqrt (1-x^2))

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  5. prove without expanding, |[(a-b),1,a],[b-c,1,b],[c-a,1,c]|=|[a,1,b],[b...

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  6. If two matrices A and B of orders 2 xxm and 3xxn respectively are conf...

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  7. Evaluate:underset(xrarr0)lim log(1 + alphax)/(sin betax)

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  8. If y = logxtanx, find (dy)/(dx).

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  9. overset(pi//2)underset(-pi//2)int |sin x|dx =

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  10. Form the diffential equation of family of parabolas having vertex at t...

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  15. A discrete random variable X has the following distribution: find a.

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  16. If xy = 1 + a^2 then show that, tan^(-1) [1/(a + x)]+tan^(-1) [1/(a+y)...

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  17. By using properties of determinants. Show that: |1+a^2-b^2; 2ab; -2b: ...

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  18. If y = f(x^2) and f'(x) = sqrt (3x^2+1), find [(dy)/(dx)](x=2)

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  19. If y= (tan^(-1)x)^2, then show that (1+x^2)^2(d^2y)/(dx^2)+2x(1+x^2)(d...

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