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Find which function does not obey mean v...

Find which function does not obey mean value theorem in [0, 1] -

A

`f(x)={((1)/(2)-x,"when "x lt (1)/(2)),(((1)/(2)-x)^(2),"when "x ge (1)/(2)):}`

B

`f(x)=|x|`

C

`f(x)=x|x|`

D

`f(x)={((sinx)/(x),"when "x ne 0),(1,"when " x=0):}`

Text Solution

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The correct Answer is:
A
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3
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  2. If y=x+x^(2)+x^(3)+…oo where |x| lt 1, then for |y| lt 1 the value of...

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  3. Find which function does not obey mean value theorem in [0, 1] -

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  8. If y=x^(3) then the value of ((d^(2)y)/(dx^(2)))/([1+((dy)/(dx))^(2)]^...

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  9. If x=(1)/(z), y=f(x) and (d^(2)y)/(dx^(2))=kz^(3)(dy)/(dz)+z^(4)(d^(2...

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

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  12. Let f(x)={((sin pix)/(5x),"when "x ne 0),(k,"when "x=0):} If f(x) i...

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  13. If int f(x) dx=f(x), then int {f(x)}^(2)dx is equal to -

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  14. The value of int(sqrt(tanx))/(sinx cosx)dx is equal to -

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  15. The value of int(0)^((pi)/(2))x sin x dx is equal to -

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  18. The value of int(0)^(pi)log sin^(2)x dx is equal to -

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  19. The value of the integral int(1)^(e ) (log x)^(2)dx is -

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  20. The value of int(dx)/(e^(x)+e^(-x)) is equal to -

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