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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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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. The combined resistance of two resistors R1 and R@ (R1,R2>0) is given ...

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

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

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  4. A metal box with a square box and vertical sides is to contain 512 c^3...

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  5. An isosceles triangle of vertical angle 2theta is inscribed in a circl...

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  6. If the sum of the lengths of hypotenuse and a side of a right-angled t...

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

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  8. A point on the hypotenuse of a triangle is at distance a and b from th...

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  9. Find the dimensions of the rectangle of perimeter 36 cm which will swe...

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  10. If the sum of the surface areas of cube and a sphere is costnat, what ...

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  11. If the length of three sides of a trapezium other than base are equal ...

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  12. Find the shortest distance of the point (0, c) from the parabola y = x...

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  13. Let AP and BQ be two vertical poles at points A and B respectively. If...

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  14. A window has the shape of a rectangle surmounted by an equilateral tri...

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  15. Find the rate of change of area of a square when its side is increasin...

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  16. If the rate of change of volume of a sphere is numerically equal to th...

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  17. If the area of a circle increases at a uniform rate, then prove that t...

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  18. Find a real number theta, 0 < theta < pi/2, which increases twice as f...

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  19. Find the rate of change of perimeter of a square when its side is incr...

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  20. Find the rate of change of perimeter of a square when its side is incr...

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