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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-EXERCISE
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  3. If 27a+9b+3c+d=0, then the equation 4ax^(3)+3bx^(2)+2cx+d =0 has atlea...

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  4. Rolle's theorem cannot be applicable for

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  5. The value of 'c' in Lagrange's thorem for f(x) = lx^(2) + mx + n [l ne...

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  6. If f'(x) = (1)/(1+x^(2)) for all x and f(0) = 0, then:

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  7. Let f be a function which is continuous and differentiable for all rea...

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  8. In [0,1], Lagrange's mean value theorem is not applicable to (a) f(...

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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. The value of 'a' for which x^(3) -3x +a=0 has two distinct roots in [...

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  11. Let R rarr R be a continuous function define by f(x ) =(1)/(e^(x)+2e) ...

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  12. The real number k for which the equation, 2x^(3)+3x+k=0 has two distin...

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  13. If f and 'g' are differentiable functions in [0, 1] satisfying f(0) = ...

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  14. If the Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) +...

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  15. Let f(1)= -2 and f'(x ) ge 4.2 for 1 le x le 6 . The possible value o...

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

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  17. If 2a + 3b + 6c = 0, then atleast one root of the equation ax^(2) + bx...

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  18. If the equation a(n)x^(n) + a(n-1) x^(n-1)+"......" + a(1) x= 0 (a(1...

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  20. Consider the functions, f(x) = |x -2 | + |x - 5 |, x in R Statement-1...

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