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Amongst all pairs of positive numbers wi...

Amongst all pairs of positive numbers with product 256 find those whose sum is least

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find two positive numbers whose sum is 14 and product is maximum.

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  2. Find two positive numbers whose sum is 16 and product is maximum.

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  3. Amongst all pairs of positive numbers with product 256 find those whos...

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  4. Amongst all pairs of positive numbers with product 64 find those whose...

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  5. Find two numbers whose sum is 15 and the square of one multiplied by t...

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  6. Find two positive numbers whose sum is 15 and the sum of whose squares...

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  7. Find two positive numbers 'x' and 'y' such that their sum is 35 and pr...

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  8. Find two positive numbers whose sum is 16 and whose sum of cubes is mi...

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  9. Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...

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  10. How should we choose two numbers, each greater than or equal to -2 who...

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  11. Find the maximum slope of the curve: y = -x^3 + 3x^2 + 2x - 27

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

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

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

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

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

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

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

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

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

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