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Verify Rolle's Theorem for the functions...

Verify Rolle's Theorem for the functions :
`f(x)=sin^(2)x`, defined in the interval `[0,pi]`

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The correct Answer is:
Applicable ; `c=pi/2`
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(l) (LONG ANSWER TYPE QUESTIONS (I))
  1. Verify the truth of Rolle's Theorem for the following functions : f(...

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  2. Verify the truth of Rolle's Theorem for the following functions : f(...

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  3. Verify the truth of Rolle's Theorem for the following functions : f(...

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  4. Verify the truth of Rolle's Theorem for the following functions : f(...

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  5. Verify the truth of Rolle's Theorem for the following functions : f(...

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  6. Verify the truth of Rolle's Theorem for the following functions : f(...

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  7. Verify Rolle's Theorem in the interval [a, b] for the function : f(x...

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  8. Examine the applicability of Rolle's Theorem for the function : f(x)...

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  9. Verify Rolle's Theorem for the functions : f(x)=sin^(2)x, defined in...

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

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  11. Verify Rolle's Theorem for the functions : f(x)=tanx, defined in the...

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  12. Verify Rolle's Theorem for the functions : f(x)=sinx+cosx in the int...

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  13. Verify Rolle's Theorem for the functions : f(x)=sinx+cosx+5 in the i...

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  14. Verify Rolle's Theorem for the functions : f(x)=sinxcosx " in "[0,pi...

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  15. Verify Rolle's Theorem for the functions : f(x)=sin^(3)x+cos^(3)x in...

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  16. Verify Rolle's Theorem for the function : f(x)={{:(-4x+5", "0lexle1)...

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

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

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

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

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