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A square-based tank of capacity 250 cu m...

A square-based tank of capacity 250 cu m has to bedug out. The cost of land is Rs 50 per sq m. The cost of digging increases with the depth and for the whole tank the cost is Rs `400 xx (depth)^2`. Find the dimensions of the tank for the least total cost.

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MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Given the sum of the perimiter of a square and a circle, show that the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

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