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A wire of length l is cut into two parts...

A wire of length l is cut into two parts which are bent respectively in the form of a square and a circle. What are the lengths of the pieces of the wire respectively so that the sum of the areas is the least.

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The correct Answer is:
`(pi l)/(pi + 4), (4l)/(pi + 4)`
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AAKASH SERIES-MAXIMA AND MINIMA -Exercise - 8.2 (Long Answer Questions)
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  2. Find the absolute maximum value and absolute minimum value of the foll...

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

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  4. Find the absolute maximum value and absolute minimum value of the foll...

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  5. Find local maximum or local minimum of f(x) = -sin 2x - x defined o [-...

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  6. Use the first derivative test to find the local extrema of f(x) =x^(3)...

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  7. Find the absoloute extremum of f(x) = 4x - (x^(2))/(2) on [-2, (9)/(2)...

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  8. Use the first derivative test to find local extrema of f(x) = x^(2) - ...

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  9. The profit function P (x) of a company selling x items is given by P(x...

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  10. Use the second derivative test to find local extrema of the function f...

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  11. Find the absolute maximum and absolute minimum of f(x) = 2x^(3) - 3x^(...

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  12. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

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  13. If the curved surface of right circular cylinder inscribed in a sphere...

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  14. The profit function P(x) of a company selling x items per day is given...

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  15. A wire of length l is cut into two parts which are bent respectively i...

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  16. Find the absolute maximum and absolute minimum of f(x) =8x^(3) + 81x^(...

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  17. From a rectangular sheet of dimension 30 cm xx 80 cm, four equal squa...

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  18. Find two positive integers whose sum is 16 and the sum of squares is m...

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  19. A window is in the shap of a rectangle surmounted by a semicircle. If ...

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  20. Find the maximum area of the rectangle that can be formed with fixed p...

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