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Verify Rolle's Theorem in the interval [...

Verify Rolle's Theorem in the interval [a,b] for the fraction: `f(x) = (x-a)^m(x-b)^n,m` and n being positive integers. Find the value of 'c'.

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Verify the truth of Rolle's Theorem for the following function: f(x)...

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  2. Verify Rolle's theorem for the following functions f(x)=(x-2)(x-4)^2...

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  3. Verify Rolle's Theorem in the interval [a,b] for the fraction: f(x) = ...

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  4. Examine the applicability of Rolle's Theorem fr the fraction: f(x) =...

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  5. Verify Rolle's Theorem for the function: f(x) = sin^2x, defined in t...

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  6. Verify Rolle's Theorem for the function: f(x) = cosx, defined in the...

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  7. Verify Rolle's Theorem for the function: f(x) = tanx, define in the ...

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  8. Verify Rolle's Theorem for the function: f(x) = sin x+cos x in [0,pi...

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  9. Verify Rolle's Theorem for the function: f(x) = sin x + cos x -1 in ...

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  10. Verify Rolle's Theorem for the function: f(x) = sin x+cos x in [0,pi...

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  11. Verify Rolle's Theorem for the function: f(x) = sin^4 x + cos^4 x i...

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  12. Find the value of f(x) when x=5: f(x) = -4x+5

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

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

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

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

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

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

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

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

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