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Show that ,the maximum value of ((1)/(x...

Show that ,the maximum value of `((1)/(x))^(x)` is `e^((1)/(e)`

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CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Long Answer Type Questions
  1. Show that ,the maximum value of ((1)/(x))^(x) is e^((1)/(e)

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  2. If x+y=2 , that the maximum value of z=(4)/(x)+(36)/(y) is less t...

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  3. Find the maximum and minimum values of y=6x^(2)-3x^(4)-1 in the inte...

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  4. Investigate for what values of x, the fuction (x-1)/(x^(2)+x-1) is a ...

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  5. Obtain the maximum and minimum values of the function y=(x)/((x-1)(x-4...

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  6. If f (c ) does not exist , can f(x) have an extremum at x=c ? Justif...

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  7. Determine a point on the parabola x^(2)=8y which is nearest to the po...

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  8. Find the abscissa of the point on the parabola y^(2)=2px, which is nea...

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  9. Find the point on the line 2x+3y =6 which is closest to the origin...

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  10. Using calculus find the length of the perpendicular from the point (2...

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  11. Divide 5 into two parts such that the product of the square of one and...

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  12. Given the sum of the perimeters of a square is equal to the diameter o...

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  13. A particle is moving in a straight line its distance from a fixed poin...

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  14. An open tank of a given capacity has square base with vertical sides...

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  15. A particle moving in a straight line describes a distance x cm from a...

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  16. A particle moves in a straight line such that its distance x from a f...

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  17. A cylindrical tin can open at the top , of a given capacity has to be...

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  18. Show that the height of a cylinder of given total surface area and o...

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  19. The length of the hypotenuse of a right angled triangle is a Find the ...

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  20. The length of the hypotenuse of a right angled triangle is a Find the ...

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