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Show that the surface area of a closed c...

Show that the surface area of a closed cuboid with surface base and given volume is minimum when it is cube.

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BETTER CHOICE PUBLICATION-APPLICATIONS OF DERIVATIVES-ASSIGNMENT (SECTION VII) (Long Answer Type Questions)
  1. Find two positive numbers whose sum is 32 and product is large as poss...

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  2. Find two numbers x and y such that x+y=15andx^(2)y^(3) is maximum.

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  3. Find two positive numbers whose sum is 24 and their sum of squares is ...

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  4. Find two positive numbers x and y such that x+y=36andxy^(3) is maximum...

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  5. Find two positive numbers whose sum is 14 and sum of squares is minimu...

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  6. Find the area of the largest rectangle having the perimeter 200 cm.

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  7. Find the rate of change of the area of a circle with respect to its ra...

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  8. Find the point on the curve x^(2)=8y which is nearest to the point (2,...

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  9. A figure consists of a semi-circle with a rectangle on its diameter. G...

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  10. A window consists if a semi-circle with a rectangel on its diameter. I...

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  11. A square piece of tin of side 18 cm is to be made into a box without t...

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  12. Show that the surface area of a closed cuboid with surface base and gi...

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  13. Find two positive numbers whose sum is 14 and their sum of squares is ...

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  14. Show that the height of the cylinder, open at the top of given surface...

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  15. Find the rate of change of the area of the circle with respect to its ...

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  16. Show that the height of the cylinder of maximum volume that can be ins...

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  17. Show that height of the cylinder of greatest volume which can be inscr...

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  18. The radius of the circle is increasing at the rate of 0.7 cm/s . What ...

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  19. A balloon which always remain spherical has a variable radius. Find th...

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