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A square piece of tin of side 24 cm is t...

A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each comer and folding up the flaps to form a box. What should be the side of square to be cut off so that the volume of box is maximum also find the volume ?

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Show that the height of a closed right-circular cylinder of given volu...

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  2. Given the sum of the perimiter of a square and a circle, show that the...

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  3. A square piece of tin of side 24 cm is to be made into a box without t...

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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 is...

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

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  7. An open box with a square base is to be made out of a given iron sheet...

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  8. A farmer wants to construct a circular well and a square garden in his...

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  9. An open tank with a square base and vertical sides is to be constructe...

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  10. A helicopter is flying along the curve y = x^2+2. A solider is placed ...

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  11. Find the rate of change of the area of a circle with respect to its ra...

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  12. The total revenue in Rupees received from its sale of x units of a pro...

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  13. The interval in which y = x^2 e^-x is increasing is:

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  14. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

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  15. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

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  16. If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :

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  17. The approximate change in the volume of a cube of side x metres caused...

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  18. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

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  19. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

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  20. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

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