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The function int(-1)^(1)t(e^t-1)(t-1)(t...

The function `int_(-1)^(1)t(e^t-1)(t-1)(t-2)^3(t-3)^tdt` has local minimum at x=

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-MAXIMA AND MINIMA -Exercise
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  2. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  3. The maximum and minimum values of y=(ax^2+2bx+c)/(Ax^2+2Bx+C) are thes...

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  4. In a A B C ,/B=90^0a n db+a=4. The area of the triangle is maximum wh...

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  5. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

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  6. Maximum area of a reactangle which can be inscribed in a circle of a...

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  7. f(x)={{:(3x^(2)+12x-1,-1lexle2),(37-x",",2ltxle3):} Which of the fol...

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  8. The perimeter of a sector is p. The area of the sector is maximum when...

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  9. If a^(2)x^(4) + b^(2)y^(4)=c^(6), then maximum value of xy is

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  10. The function int(-1)^(1)t(e^t-1)(t-1)(t-2)^3(t-3)^tdt has local mini...

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  11. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

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  12. Let a,b,c be positive real parameter and ax^3+ b/x^2gec, AA xepsilonR ...

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  13. If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the ...

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  14. Let f(x)=e^x sinx , slope of the curvery y=f(x) is maximum at x=a if '...

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  15. If a gt b gt0 then maximum value of (ab(a^2-b^2)sinxcosx)/(a^2sin^2...

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  16. The maximum value of the function f(x)=(1+x)^(0.3)/(1+x^(0.3)) in [0,1...

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  17. If g(x)=max(y^(2)-xy)(0le yle1), then the minimum value of g(x) (for...

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  18. Let f(x)=(sinx-cosx+sqrt2)/(x^(3//2)), " where "x in [pi/4,(5pi)/4] . ...

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  19. If a,b,c are positive constants such that agtb then the maximum value...

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  20. Let f(x)=In (2x-x^2)sin"(pix)/2. Then

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