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Let f(x) = Max. `{x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1]` If Rolle's theorem is applicable for f(x) on largestpossible interval [a, b] then the value of `2(a+b+c)` when `c in [a, b]` such that f'(c) = 0, is

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RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part II
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  2. if p in (0,1//e)then the number of the distinct roots of the equation...

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  3. A light shines from the top of a pole 50 ft. high A ball is dropp...

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  4. A variable Delta ABC in the xy plane has its orthocentre at vertex B ,...

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  5. Function defined by f(x) =(e^(x^(2))-e^(-x^(2)))/(e^(x^(2))+e^(-x^(2))...

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  6. Find lim( xto0) [(3x)/(2sinx + tanx)] where [ . ] denotes the GIF.

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  7. if f(x) =2e^(x) -ae^(-x) +(2a +1) x-3 monotonically increases for AA x...

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  8. if has set of all values of the parameter 'a' for which the function...

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  9. If ln2pi ltlog2 (2+sqrt3)lt ln3pi, then number of roots the equation 4...

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  10. For -1<=p<=1 , the equation 4x^3-3x-p = 0 has 'n' distinct real ro...

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  11. Least value of the function , f(x)=2^(x^2)-1+2/(2^(x^2)+1) is :

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  12. Real root of the equation (x-1)^(2013) +(x-2)^ (2013) +(x-3)^ (20...

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  13. The exhaustive set of value of 'a' for which the function f(x)=a/3(x...

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  14. if f(x) is a polynomial of degree 6. Which satisfies lim(h to 0) (1...

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  15. Maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2 (where 1 le x le 3) is

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  16. The three sides of a trapezium are equal each being 6 cms long. Le...

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  17. A sheet of poster has its area 18 m^(2). The margin at the top & ...

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  18. The fuel charges for running a train are proportional to the square of...

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  19. Let f(x) = Max. {x^2, (1 - x)^2, 2x(1 - x)} where x in [0, 1] If Rol...

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  20. For every twice differentiable function f(x) the value of |f(x)| l...

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