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Show that f(x) = log [x + sqrt(1 + x^2)]...

Show that `f(x) = log [x + sqrt(1 + x^2)]` is a odd function.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 5-EXERCISE
  1. Mode of .2, 7, 5, 3, 7, 1, 6, 9, 7, 3, 6, 3 is

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  2. For any two sets A and B, Prove that A cup (Acap B) = A.

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  3. Show that f(x) = log [x + sqrt(1 + x^2)] is a odd function.

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  4. If tan 26^@ and tan 19^@ are the roots of the equation ax^2 - bx -f c ...

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  5. If tan15^@=x.then show that x^2+2sqrt3x-1=0

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  6. In a quadratic equation of the form ax^2 + bx + c = 6 the co-efficient...

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  7. Show that. sqrt i+sqrt-i=sqrt2

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  8. Prove that by using the principle of mathematical induction for all n...

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  9. In a n sided polygon joining by straight line all the angular points. ...

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  10. Find the equation of a straight line passes through (-3, 10) and the l...

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  11. Find the ratio in which the straight line 3x + y = 9 divides the line ...

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  12. Prove that: lim(xrarr0)tanx/x=1

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  13. If.y = tan^-1 (sec x + tan x), show that ,dy/dx=1/2 .

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  14. A and B are two independent event. It P(A) = 1/2 and P(A cup B)=2/3,fi...

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  15. Find the mean deviation with respect ' to mean value :18,22,33,42,53,...

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  16. Find the HCF of 15, 40, 60 with the help of set theory

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  17. If 13theta=pi,show that costhetacos2theta cos3theta cos4theta cos5thet...

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  18. Solve:sinx-sin2x=cos2x-cosx

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  19. Show that by mathematical- induction :x^3+(x+1)^3+(x+2)^3is divisible ...

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  20. If z = x + iy and arg ((z-1)/(z+1))=(pi)/(4), then the locus of (x, y)...

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