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The maximum value of f(x) =2x^3-21x^2+36...

The maximum value of `f(x) =2x^3-21x^2+36x+20` , in the interval `0 le x le 2 ` is

A

37

B

44

C

32

D

30

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -II) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The smallest value of x^(2)-3x+3 in the interval [-3,(3)/(2)] is

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  2. The maximum value of f(x) =2x^3-21x^2+36x+20 , in the interval 0 le x ...

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  3. The minimum value of f(x)=(2x-3)(3x-1) on [0,1] is

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  4. In the interval [0,1] the function x^(25)(1-x)^(75) takes a maximum va...

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  5. The largest value of f(x)=2x^(3)-3x^(2)-12x+5 for -2lexle4 occurs at x...

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  6. The difference between the greatest and least values of f(x)=int(0)^(x...

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  7. If f(x)=tan^(-1)x-(1//2)logx. Then

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  8. The smallest value of M such that 1x^(2)-3x+2|leM for all x in [1,5/2]...

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  9. The maximum value of (sqrt(-3+4x-x^(2))+4)^(2)+(x-5)^(2). (where 1lexl...

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  10. On the interval [(5pi)/(4),(4pi)/(3)] the least value of the function...

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  11. The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0,1] is

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  12. The maximum valuue of the function f(x)=Sin(x+pi/6)+Cos(x+pi/6) in the...

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  13. Let f(x)=cospix+10x+3x^(2)+x^(3),-2lexle3. The absolute minimum value ...

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  14. The global maximum value of f(x)=log(10)(4x^(3)-12x^(2)+11x-3) . X in ...

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  15. If x+y =28 then the maximum value of x^(3)y^(4) is

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  16. If x+y = 6543298 and x^(11)y^5 is maximum then the ratio of the number...

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  17. If x+y=k and xgt09,ygt0 then x^2+y^2 is minimum if

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  18. Find the maximum value of 3x + 4yfor x gt 0, y gt 0 such that x^(2)y^(...

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  19. If xgt0,ygt0,x+y=32 and x^6+y^6 is minimum then the numbers are

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  20. The minimum value of 64 sec theta +27 cosec theta where theta lies in ...

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