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Find two positive numbers x and y such t...

Find two positive numbers x and y such that `x + y = 60` and `xy^(3)` is maximum.

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SUBHASH PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE
  1. Find the local maxima and local minima. If any of the following functi...

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  2. Find the local maxima and local minima. If any of the following functi...

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  3. Find the local maxima and local minima. If any of the following functi...

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  4. Find the local maxima and local minima. If any of the following functi...

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  5. Prove that the following functions do not have maxima or minima: (a)...

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  6. Prove that the following functions do not have maxima or minima: (b)...

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  7. Prove that the following functions do not have maxima or minima: (c)...

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  8. Find the absolute maximum value and the absolute minimum value of the ...

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  9. Find the absolute maximum value and the absolute minimum value of the ...

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  10. Find the absolute maximum value and the absolute minimum value of the ...

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  11. Find the absolute maximum value and the absolute minimum value of the ...

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  12. Find both the maximum value and the minimum value 3x^(4) - 8x^(3) + 12...

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  13. Find the maximum value of 2x^(3) - 24x + 107 in the interval [1,3]. Fi...

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  14. It is given that at x = 1, the function x^(4) - 62x^(2) + ax + 9 attai...

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  15. Find two number whose sum is 24 and whose product is larger as possibl...

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  16. Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...

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  17. Find two positive numbers x and y such that their sum is 35 and the p...

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  18. Find two positive numbers whose sum is 16 and the sum of whose cubes i...

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

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  20. A rectangular sheet of tin 45 cm by 24 cm is to made into a box withou...

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