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Evaluate (with the help of definite integral): `underset(n rarr infty)lim{(1+1/n)(1+2/n)…(1+n/n)}^(1/n)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPER SET 10-EXERCISE
  1. answerer any one of the foll. :(ii) if two angles of a triangle are ta...

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  2. (b) answer any one of the foll.: (i) prove without expanding |[1,omega...

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  3. answer any three of the foll. : (i) evaluate : lim(x rarr infty ) (e^(...

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  4. find dy/dx, when e^(xy)-4xy=4

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  5. evaluate: int dx/(sin^2 x cos^2 x)

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  6. Show that , the equation of all circles touchung the y -axis at the or...

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  7. Find the interval in which the function f(x)=x^x(x>0) is decreasing.

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  8. if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X)...

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  9. prove that , tan(2tan ^(-1) sqrt((1+cos theta )/(1- cos theta )))+tan ...

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  10. answer the following : (ii) prove that, |[2ab,a^2,b^2],[a^2,b^2,2ab],[...

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  11. answeer the following : (i) if y sqrt(x^2+1)=log(sqrt(x^2+1)-x), show ...

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  12. x= a(theta-sin theta ),y=a(1-cos theta),show that , 2y (d^2y)/(dx^2)+ ...

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  13. answer the following: (ii)evaluate: int (e^x(x-4))/(x-2)^3dx

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  14. evaluate : int dx/(x^4+x^2+1)

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  15. answer the following : (iii) solve:dy/dx=1+e^(2x-y),given y=2 when x...

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  16. evaluate : int(-1)^2 |1-x^2| dx

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  17. Evaluate (with the help of definite integral): underset(n rarr infty)l...

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  18. a problem on mathematics is given to three students A,B,C whose probab...

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  19. the overall percentage of failures in a certain examination is 40 what...

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  20. Prove that the equation of the palne which passes through the point (-...

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