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It is given that for the function f g...

It is given that for the function `f` given by `f(x)=x^3+b x^2+a x` , `x in [1,\ 3]` . Rolles theorem holds with `c=2+1/(sqrt(3))` . Find the values of `a` and `b` .

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The correct Answer is:
a=11 , b=-6
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NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5m
  1. Verify Rolle's theorem for the following functions in the given interv...

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  2. Verify Rolle's theorem for the following functions in the given interv...

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  3. Verify Rolle's theorem for the following functions in the given interv...

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  4. Verify Rolle's theorem for the following functions in the given interv...

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  5. Verify Rolle's theorem for the following functions in the given interv...

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  6. Verify Rolle's theorem for the following functions in the given interv...

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  7. Verify Rolle's theorem for the following functions in the given interv...

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  8. Verify Rolle's theorem for the following functions in the given interv...

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  9. Verify Rolle's theorem for the following functions in the given interv...

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  10. Verify Rolle's theorem for the following functions in the given interv...

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  11. Verify Rolle's theorem for the following functions in the given interv...

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  12. Verify Rolle's theorem for the following functions in the given interv...

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  13. Verify Rolle's theorem for the following functions in the given interv...

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  14. Discuss the applicability of the Rolle's theorem for the following fun...

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  15. Verify Rolles theorem for the function f(x)=log{(x^2+a b)/(x(a+b))}...

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  16. Using Rolle's theorem , find a point on the curve y = x^(2) , x in [-...

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  17. Using Rolle's theroem, find the point on the curve y = x (x-4), x in ...

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  18. Verify Rolle's theorem for the function f(x) = 2x^(3) + x^(2) - 4x -...

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  19. It is given that for the function f given by f(x)=x^3+b x^2+a x , x...

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