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Determine a rectangle of area 25sq. Unit...

Determine a rectangle of area 25sq. Units which has minimum perimeter.

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MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find two numbers x and y whose sum is 15 such that xy^2 is maximum.

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  2. If then sum of two positive numbers in constant then show that their p...

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  3. Determine a rectangle of area 25sq. Units which has minimum perimeter.

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  4. Find the altitude of a right circular cylinder of maximum volume inscr...

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  5. Show that the radius of the right cicular cylinder of greatest curved ...

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  6. Show that the semivertical angle of a cone of given slant height is ta...

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  7. A cylindrical open water tank with a circular base is to be made out o...

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  8. A cylindrical vessel of capacity 500 cubic metres open at the top is t...

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  9. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

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  10. Find the points on the curve y = x^2+1 which are nearest to the point ...

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  11. Show that the minimum distance of a point on the curve (a^(2))/(x^(2))...

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  12. Show that the semi-vertical angle of a right circular cone of minimum ...

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  13. Show that the shrtest distance of the point (0, 8a) from the curve ax^...

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  14. Shows that the triangle of greatest area that can be inscribed in a ci...

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  15. Determine the differentials in each of the following cases. y = x^3 - ...

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  16. Determine the differentials in each of the following cases. y = sin^2 ...

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  17. Determine the differentials in each of the following cases. y = (1 +sq...

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  18. Determine the differentials in each of the following cases. z = cos 2t...

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  19. Determine the differentials in each of the following cases. r = 4/(1 +...

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  20. Determine the differentials in each of the following cases. x^2y = 2

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