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n is a positive integer. If the value o...

n is a positive integer. If the value of c presecribed in Rolle's theorem for the function `f(x)=2x(x-3)^(n)` on the interaval [0,3] is 3/4, then the value of n, is

A

5

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-MEAN VALUE THEOREMS-Exercise
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  12. If 4a+2b+c=0 , then the equation 3ax^(2)+2bx+c=0 has at least one rea...

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  14. If from Largrange's mean value theorem, we have f(x'(1))=(f'(b)-f(a))...

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  15. Rolle's theorem is applicable in case of phi(x) = a^sin x,a>0 in

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  16. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

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  17. When the tangent the curve y=x log (x) is parallel to the chord joinin...

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  18. The value of c in Rolle's theorem for the function f (x) =(x(x+1))/e^x...

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  19. The value of c in Largrange's mean value theorem for the function f(...

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  20. The value of c in Rolle's theorem for the function f(x) = x^(3) - 3...

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