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Show that a closed cylinder of a given v...

Show that a closed cylinder of a given volume will have its least surface when its height is equal to its diameter.

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AAKASH SERIES-MAXIMA AND MINIMA -Advanced Subjective Type Questions
  1. If the perimeter of a sector of a circle is constant then find the ang...

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  2. The sum of the surfaces of a sphere and a cube is given. Show that whe...

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  3. Show that a closed cylinder of a given volume will have its least surf...

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  4. Show that a conical tent of given capacity will require the least amou...

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  5. The equation of the normal to the curve x^(2)=4y at (1,2) is

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  6. Find the dimensions and the volume of the greatest cylinder that can b...

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  7. Show that the altitude of the right circular cone of maximum volume th...

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  8. Show that the semi-vertical angle of right circular cone of the maximu...

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  9. Show that semi-vertical angle fo right circular cone of given surface ...

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  10. A wire of length 'a' is cut into two parts which are bent in the form ...

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  11. An open top box of maximum possible volume from a square piece of tin ...

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  12. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

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  13. A car starts from a point P at time t = 0 seconds and stops at point Q...

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  14. A water tank has the shape of an inverted right circular cone with its...

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  15. A tank with rectangular base and rectangular side, open at the top is ...

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  16. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

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  17. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

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  18. If f(x) = {(3x^(2) + 12x - 1, -1 le x le 2),(" "37-x, 2 lt x ...

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  19. Let f(x) = {(" "x e^(a x), x le 0),(x + a x^(2) - x^(3) , x ...

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  20. Find the intervals in which f(x) = int(0)^(x){e^(t) - 1)(t+1)(t-2)(t+4...

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