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A binary operation * is defined on the s...

A binary operation * is defined on the set of real numbers R by a*b = 2a + b - 5 for all a, b `in` R
If 3* (x*2) = 20, find x

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UNITED BOOK HOUSE-SET 17-EXERCISE
  1. If for a random variable x, the variance of x is 1.84 and the expectat...

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  2. Find the value of sin cot^-1 cos (tan^-1(2))

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  3. A binary operation * is defined on the set of real numbers R by a*b =...

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  4. Solve for a,b,c and d when ((b+c, c+a), (7 - d ,6 -c)) = ((9-d, 8-d),(...

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  5. Evaluate : |[0, (a-b)^3, (b-c)^3], [(b-a)^3, 0, (c-a)^3],[(c- b)^3, (a...

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  6. Examine whether the following function is continuous at x = 0 . phi(...

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  7. Find the differential co-efficient of logx10 with respect to tan^-1x.

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  8. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

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  9. Find if Lagrange's Mean Value Theorem is applicable to the function f...

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  10. Eleminating a and b, find the differential equation of all ellipse of ...

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  11. Evaluate : underset(x rarr 0) Lt (1+3x)^((x+2)/x)

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  12. If vec a, vec b, vec c are unit vectors satisfying the condition veca+...

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  13. Find the value of lambda so that the plane vecr. (veci + 2vecj + 3veck...

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  14. If P(A)=1/4,P(B)=1/3 and P(A-B)=1/6 then verify whether a and B are tw...

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  17. Show that: |[a, b-c,c+b], [a+c, b, c-a],[a-b,b+a, c]|=(a+b+c)(a^2+b^2...

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  18. Show that int(2x+3)/(x^2 - 3x + 2) dx

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  19. If x = sin theta and y = cos ptheta , p is constant, then find the val...

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  20. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

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