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Verify Rolle's theorem for the following...

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

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ML KHANNA-LIMITS, CONTINUITY AND DIFFERENTIABILITY -PROBLEM SET (3)
  1. Verify Rolle's theorem the function f(x) = x^(3)-4x on [-2,2]

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  2. Discuss the applicability of Rolle's theorem to f(x) = log [(x^(2) + a...

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

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  4. Verify Rolles theorem for the function: f(x)=x(x+3)e^(-x//2) on [-3...

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  5. Show that there is no real number p for which the equation x^2 -3x + p...

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  6. Verify Rolle's theorem for the function f(x) = x^(2) in the interval [...

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  7. Verify the Rolle's theorem for the functionf(x) = x^(2) - 3x+2 ...

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  8. If a+b + c = 0, then show that the quadratic equation 3ax^(2) + 2bx +c...

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  9. Discuss the applicability of Rolles theorem for the function f(x)=x...

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  10. Discuss the applicability of Rolle's theorem on the function given by ...

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  11. Discuss the application of Rolle's theorem to the function f(x) = log ...

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  12. Verify Rolle's theorem for the function f(x) = x^(3) -6x^(2) + 11x-6 i...

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  13. Verify Rolle's Theorem for the function f(x)= 10x - x^(...

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  14. Find 'c' of the mean value theorem, if: f(x) = x(x-1) (x-2), a=0, b=...

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  15. If f(x) =log x find all numbers strictly between e^(2) and e^(3) such ...

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  16. Separate the intervals in which the polynomial 2x^(3) -15x^(2) + 36x+1...

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  17. Use the function f(x)=x^(1/x),x >0, to determine the bigger of the two...

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  18. Show that Lagrange's mean value theorem does not holdior the function ...

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  19. Verify Lagrange's mean yalue'theorem for the function f(x) = sin x in ...

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  20. If f'[x) exists for all points in [a,b] and (f(c ) -f(a))/(...

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