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Rectangles are inscribed inside a semicircle of radius r. Find the rectangle with maximum area.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 1 (f) (Long Answer Type Questions (II))
  1. Show that a cylinder of a given volume which is open at the top has...

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  2. The height of a closed cylinder of given volume and the minimum sur...

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  3. Rectangles are inscribed inside a semicircle of radius r. Find the r...

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  4. A square-based tank of capacity 250 cu m has to bedug out. The cost of...

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  5. A tank with rectangular base and rectangular sides, open at the top...

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

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  7. An open box is to be made of square sheet of tin with side 20 cm, by c...

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  8. A canon is fired at an angle theta(0le theta le(pi)/(2)) with the hori...

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  9. Find the maximum profit that a company can make, if the profit functi...

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  10. Find the maximum profit that a company can make, if the profit functio...

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  11. Find the maximum profit that a company can make, if the profit functio...

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  12. Find the point on the curve y^2 = 4x which is nearest to the point (2;...

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  13. Find the point on the curve y^2= 2x which is at a minimum distance fro...

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  14. Find the point on the curve y^(2)=2x, which is nearest to the point (1...

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  15. Find the point on the parabola x^(2)=8y, which is nearest to the point...

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  16. A helicopter is flying along the curve y=x^(2)+2. A soldier is placed ...

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  17. A manufacturer can sell 'x' items at a price of Rs (250-x) each. The c...

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  18. A factory can shell 'x' items per week at price of Rs (20-(x)/(1000)) ...

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  19. Let 'p' be the price per unit of a certain product, when there is a sa...

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  20. If performance of the students 'y' depends on the number of hours 'x' ...

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