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The value of C in mean value theorem for...

The value of C in mean value theorem for the function `f(x)=x^(2)` in [2, 4] is

A

3

B

2

C

4

D

44234

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The correct Answer is:
A
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HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2017-QUESTION BANK
  1. Let Delta=|(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1)| and Delta(1)=|(A,B,...

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  2. If F(x)= {(Kx^(2) if x le 2),(3 if x gt 2):} is continuous at x = 2, ...

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  3. The value of C in mean value theorem for the function f(x)=x^(2) in [2...

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  4. The point on the curve y^(2) = x where the tangent makes an angle (pi)...

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  5. The function f(x)=x^(2)+2x-5 is strictly increasing in the interval

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  6. The rate of change of volume of a sphere with respect to its surface a...

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  7. If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...

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  8. If y=|(f(x),g(x),h(x)),(1,m,n),(a,b,c)|, then (dy)/(dx) is equal to

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  9. If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)), then (dy)/(dx) is e...

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  10. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

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  11. If y = log (log x) then (d^(2)y)/(dx^(2)) is equal to

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  12. int ((x+3)e^(x))/((x+4)^(2)) dx is equal to

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  13. int (cos2x - cos 2theta)/(cosx- costheta)dx is equal to

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  14. int sqrt(x^(2)+ 2x+5) dx is equal to

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  15. int(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan^(7)x)dx is equal to

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  16. int(-5)^(5)|x+2|dx is equal to

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  17. int-(pi//2)^(pi//2) (dx)/(e^(sinx)+1) is equal to

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  18. int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx is equal to

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  19. The area of the region bounded by the curve y = x^(2) and the line y =...

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  20. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

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