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Let f(x) be positive continuous and diff...

Let `f(x)` be positive continuous and differentiable on the interval `(a,b)` and `lim_(xtoa) f(x)=1, lim_(xtob)f(x)=3^(1//4)`. If `f'(x)gef^(3)(x)+1/(f(x)`then the greatest value of `b-a` is

A

`b-agepi//4`

B

`b-alepi//4`

C

`b-alepi//24`

D

None of these

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ARIHANT MATHS ENGLISH-DIFFERENTIAL EQUATION -Exercise (Questions Asked In Previous 13 Years Exam)
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  12. Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose ...

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  13. Let f:[0,1]toR (the set of all real numbers ) be a function. Suppose t...

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  15. Let y^(prime)(x)+y(x)g^(prime)(x)=g(x)g^(prime)(x),y(0),x in R , wher...

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  16. Let f: R to R be a continuous function which satisfies f(x)= int0^xf(...

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  17. Let a solution y=y(x) of the differential equation xsqrt(x^(2)-1) dy-...

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