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Show that `x^3-6x^2+15xge0AAxge0`

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`x^3-6x^2+15xge0AAxge0`
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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-III
  1. Show that x^3-6x^2+15xge0AAxge0

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  2. The maximum slope of the curve y=-x^3+3x^2+9x-27 is

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  3. The sum of two positive numbers is 48. The numbers so that the sum of ...

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  4. The sum of two numbers is 16. If their product is maximum then the num...

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  5. The maximum value of xy subject to x+y =7 is

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  6. f(x)=sqrt3 sinx+cosx has a greatest value when x=

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  7. The least value of e^x+e^(-x) is

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  8. For a paricle moving on a straight line it is observed that the distan...

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  9. A quadratic function in x has the value 9 when x = 1 and has a maximum...

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  10. The absolute maximum of f(x)=x^3-3x+2 in [0,2] is

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

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  12. When x in [-6,8] the maximum value of (x+6)^4(8-x)^3 is

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  13. The maximum and minimum value of f(x)=(x-8)^4(x-9)^5 occurs at x=

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  14. If x,y are strictly positive such that x+y=1 then the minimum value of...

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  15. If x,y = 12 then the minimum value of x^2+y^2 is

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  16. The function f(x)=(x-1)^2+(x-2)^2+(x-3)^2+……+(x-9)^2 has minimum value...

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  17. The maximum hight of the curve y=6cosx-8sinx above the x-axis

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  18. f(x)=ae^x+be^(-x)(abgt0) has maximum value when

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  19. Find the point on the curve y^2=4x which is nearst to the point (2,1)

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  20. Observe the following statements : List-I: (A) If x+y=k then x^2+y^...

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  21. Statement-I : The maximum value of (logx)/x" in "0ltxltoo" is "2/e S...

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