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If Rolle's theorem holds for the functio...

If Rolle's theorem holds for the function
`f(x)=ax^(3)+bx^(2)+5x+1, x in [1, 2]` with `c=(3)/(2)`, find the values of a and b.

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Verified by Experts

The correct Answer is:
`a=0, b=-(5)/(3)`.
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-APPLICATIONS OF DERIVATIVES -Examples for Practice
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  5. Verify LMVT for the following functions on the intervals shown agains...

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  6. Find c, if LMVT is applicable for f(x)=(x-3)(x-6)(x-9), x in [3, 5].

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  7. Verify Rolle's theorem for each of the following functions : f(x) = ...

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  10. Find the values of x such that f(x)=x^(3)+12x^(2)+36x+6 is an increasi...

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  12. Find the values of x if f(x)=(x)/(x^(2)+1) is an increasing function

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  13. Find the values of x if f(x)=(x)/(x^(2)+1) is a decreasing function.

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