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A wire of length 36 cm is cut into two p...

A wire of length 36 cm is cut into two pieces . One of the pieces is to be made into a square and the other into a equilaterel triangle. Find the length of each piece so that the sum of the areas of the square and the triangle is minimum.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. If the sum of the lengths of hypotenuse and a side of a right-angled t...

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  2. A wire of length 36 m is to be cut into two pieces. One of the pieces ...

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  3. A wire of length 36 cm is cut into two pieces . One of the pieces is t...

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  4. Prove that the perimeter of a right-angled triangle of given hypotenus...

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  5. Prove that the area of right-angled triangle of given hypotenuse is ma...

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  6. Prove that the least perimeter of an isosceles triangle in which a cir...

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  7. Show that, of all the rectangles with a given area, the square has the...

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  8. Show that rectangle of maximum perimeter, which can be inscribed in a ...

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  9. Show that of all rectangles inscribed in a given circle the square has...

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  10. A rectangle is inscribed in a semi-circle of radius 'r' with one of it...

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  11. Of all rectangles , each of which has perimeter: 40 cm . Find the one ...

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  12. Of all rectangles , each of which has perimeter: 60 cm . Find the one ...

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

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  14. Show that the semi-vertical angle of the cone of the maximum volume an...

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

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  16. Prove that the semi-vertical angle of the right circular cone of given...

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

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  18. Show that the volume of the greatest cylinder, which can be inscribed ...

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

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  20. Prove that volume of largest cone, which can be inscribed in a sphere,...

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