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Suppose f, f' and f'' are continuous on [0, e] and that `f'(e )= f(e ) = f(1) = 1` and `int_(1)^(e )(f(x))/(x^(2))dx=(1)/(2)`, then the value of `int_(1)^(e ) f''(x)ln xdx` equals :

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RESONANCE DPP-JEE MAINS-All Questions
  1. The digit at the unit place of the number (2003)^(2003) is

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  2. Find volume of a cuboid whose edges are 58.73cm,2.631 cm and 0.3798cm ...

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  3. Suppose f, f' and f'' are continuous on [0, e] and that f'(e )= f(e ) ...

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  4. Let R be a relation defined by R={(x , xhat3)X is a prime number <10} ...

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  5. Find antilog of the following values {:((i),bar(2).362,(ii),-3.7913,...

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  6. Find antilog of the following values {:((i),bar(2).362,(ii),-3.7913,...

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  7. if f(x)= maximum (sinx,cosx,(1)/(2)) and the area bounded by y=f(x), x...

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  8. Find antilog of the following values {:((i),bar(2).362,(ii),-3.7913,...

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  9. if y=ae^(x)+be^(-3x)+c, then the value of ((d^(3)y)/(dx^(3))+2(d^(2)y)...

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  10. Find logarithm of the following values : {:((i),0.128,(ii),0.0125,(...

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  11. If |a^2+lambda^2a b+clambdac a-blambdaa b-clambdab^2+lambda^2b c+a c a...

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  12. (i) Find antilog of 0.4 to the base 32. (ii) Find antilog of 2 to t...

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  13. If DeltaABC, if (c+a)/12=(a+b)/14=(b+c)/18, then find vaue of (7r(1)-r...

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  14. Antilog(15.863)

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  15. lim(x-&gt0;)(root(3)(1+3x) \ -1-x)/((1+x)^(101)-1-101 x) has the value...

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  16. (i) Find antilog of 0.4 to the base 32. (ii) Find antilog of 2 to t...

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  17. Find antilog of the following values {:((i),bar(2).362,(ii),-3.7913,...

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  18. Let f(x)=("lim")(xvecoo)1/((3/pitan^(-1)2x)^(2n)+5)dot Then the set of...

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  19. Evaluate the determinants(i) |3-1-2 0 0-1 3-5 0| (ii) |3-4 5 1 1-2 2 ...

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  20. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

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