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Rolle's theorem cannot be applicable for...

Rolle's theorem cannot be applicable for

A

`f(x) = cos x -1 ` in `[0, 2pi]`

B

`f(x) = x ( x - 2)^(2)` in [0,2]

C

f(x) = `3+ (x-1)^(2//3)` in [ 0,3]

D

f(x)` = sin^(2) x ` in [ 0 ` pi `]

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-MEAN VALUE THEOREMS-PRACTICE SHEET (EXERCISE-I (LEVEL-I))
  1. If f(x) = cos x , a = ( - pi )/(2) then the value of 'c' of Rolle's th...

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  2. If f(x) satisfies Rolle's theorem for f(x) in [a,b] then int(a)^(b) f'...

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  3. Rolle's theorem cannot be applicable for

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  4. Value of 'c' of Rolle's theorem for f(x) = |x| in [-1,1] is

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  5. Given n is a positive integer for the function f(x) = 5x(x-2)^(n), x i...

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  6. If (a(0))/(n+1) + ( a(1))/( n ) + ( a(2))/( n -1)+"......"+ (a(n-1))/...

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  7. The value of 'c' in Rolle's theorem for f(x) = log ((x^(2) + ab)/(x(a...

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  8. Rolle's theorem holds for the function x^(3) + bx^(2) + cx, 1 le x le...

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  9. Let f(x) and g(x) be differentiable functions for 0 le x le 1 such t...

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  10. Let f(x) = sqrt(x-1) + sqrt(x+ 24-10sqrt(x-1)),1 lt x lt 26 be real va...

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  11. Rolle's theorem can not applicable for

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  12. If f be a continuous function on [0,1], differentiable in (0,1) such t...

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  13. Let f : [2,7] rarr [ 0 , oo) be a continuous and differentiable funct...

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  14. A value of c for which the conclusion of Mean Value Theorem holds for ...

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  15. The value of 'c' in Lagrange's mean value theorem for f(x) = log x on...

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  16. The value of 'c' in Lagrange's mean value theorem for f(x) = x^(3)-2x^...

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  17. The value of theta of mean value theorem for the function f(x) = ax^(2...

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  18. The value of 'c' prescribed by Lagrange's mean value theorem , when f(...

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  19. The value of C in the lagrange's mean value theroem for f(x) = sqrt( x...

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  20. The value of 'theta' of the Lagrange's mean value theorem for f(x) = x...

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