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Show that the height of a closed right-c...

Show that the height of a closed right-circular cylinder of given volume and least surface area is equal to its diameter.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Show that the height of the cylinder, open at the top of given surface...

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

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  3. Show that the height of a closed right-circular cylinder of given volu...

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  4. Given the sum of the perimiter of a square and a circle, show that the...

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  5. A square piece of tin of side 24 cm is to be made into a box without t...

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  6. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

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  7. A tank with rectangular base and rectangular sides, open at the top is...

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  8. A rectangular sheet of tin 45 cm x 24 cm is to be made into a box with...

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  9. An open box with a square base is to be made out of a given iron sheet...

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  10. A farmer wants to construct a circular well and a square garden in his...

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  11. An open tank with a square base and vertical sides is to be constructe...

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  12. A helicopter is flying along the curve y = x^2+2. A solider is placed ...

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

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  14. The total revenue in Rupees received from its sale of x units of a pro...

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  15. The interval in which y = x^2 e^-x is increasing is:

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  16. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

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  17. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

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  18. If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :

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  19. The approximate change in the volume of a cube of side x metres caused...

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  20. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

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