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Verify the conditions of Mean Value Theo...

Verify the conditions of Mean Value Theorem in the following. In each case, find a point in the interval as stated by the Mean Value Theorem :
`f(x)=x" on "[a,b]`

Text Solution

Verified by Experts

The correct Answer is:
`cin(a,b)`
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(m) (LONG ANSWER TYPE QUESTIONS (I))
  1. Verify the conditions of Mean Value Theorem in the following. In each ...

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

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

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

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

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

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  7. Verify Lagrange's Mean Value Theorem for the functions : f(x)=x^(1//...

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  8. Verify Lagrange's Mean Value Theorem for the functions : f(x)=(x-1)^...

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  9. Verify Lagrange's Mean Value Theorem for the functions : f(x)=1/x in...

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  10. f(x) = 1/(4x-1) in [1,4]

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  11. Verify Lagrange's Mean Value Theorem for the functions : f(x) = |x| ...

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  12. Verify Lagrange's Mean Value Theorem for the functions : f(x)=sqrt(x...

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  13. Verify Lagrange's Mean Value Theorem for the functions : f(x)=sqrt(2...

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  14. Verify Lagrange's Mean Value Theorem for the functions : f(x)=log(e)...

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  15. Verify Lagrange's Mean Value Theorem for the functions : f(x)=x" on ...

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  16. Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=...

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  17. Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=...

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  18. Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=...

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  19. Verify Mean Value Theorem, if f(x)=x^3-5x^2-3xin the interval [a, b],...

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  20. If mean value theorem holds for the function f(x)=(x-1)(x-2)(x-3), x i...

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