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For the function f(x) = x^3 - 6x^2 + ax ...

For the function `f(x) = x^3 - 6x^2 + ax + b`, it is given that f(1) = f(3) = 0. Find the values of 'a' and 'b', and hence verify Rolle's Theorem on [1,3]

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. At what points on the following curve, is the tangent parallel to x-ax...

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  2. At what points on the following curve, is the tangent parallel to x-ax...

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  3. For the function f(x) = x^3 - 6x^2 + ax + b, it is given that f(1) = f...

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  4. Let f(x) = (x-1)(x-2)(x-3) on the interval [1,3]. Prove that there is ...

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  6. Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x...

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  7. Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x...

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  8. Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = 2...

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  9. Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x...

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  10. Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = 2...

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  11. Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = 2...

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  12. Verify Lagrange's mean value theorem for the following functions f(x...

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  13. Discuss the applicability of Lagrange's Mean Value Theorem to f(x) = x...

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  14. Verify Lagrange's Mean Value Theorem for the function : f(x) = x (x - ...

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  15. Verify the conditions of Mean Value Theorem in the following. In each ...

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  16. Verify the conditions of Mean Value Theorem in the following. In each ...

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  17. Verify the conditions of Mean Value Theorem in the following. In each ...

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  18. Verify the conditions of Mean Value Theorem in the following. In each ...

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  19. Verify the conditions of Mean Value Theorem in the following. In each ...

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  20. Verify the conditions of Mean Value Theorem in the following. In each ...

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