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Find two positive numbers whose sum is 1...

Find two positive numbers whose sum is 16 and the sum of whose squares is minimum.

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ARIHANT PUBLICATION-APPLICATION OF DERIVATIVES -QUESTION FOR PRACTICE PART - IV (SHORT ANSWER TYPE QUESTIONS )
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  5. Find the maximum and minimum values, if any of the following functions...

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  8. Prove that the maximum value of ((1)/(x))^(x)"is e"^((1)/(e)).

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  10. Find the local maximum and local minimum value of the function f(x) ...

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  13. Find the absolute maximum and minimum values of f(x) = 2x^(3) - 24x + ...

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  14. Find the difference between the greatest and least values of the funct...

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  15. Find the absolute maximum and absolute minimum values of the function ...

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  16. Find two positive numbers whose sum is 16 and the sum of whose squares...

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  17. Prove that the largest rectangle with a given perimeter is a square.

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