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A tank with rectangular base and rectang...

A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2m and volume is `8m^(3)`. If building of tank costs Rs. 70 per sq. metres for the base and Rs. 45 per square metre for sides. What is the cost of least expensive tank ?

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The correct Answer is:
Rs. 1000
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -MISCELANEOUS EXERCISE - 6
  1. Find the intervals in which the function f given f(x)=x^(3)+(1)/(x^(3)...

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  2. Find the maximum area of an isosceles triangle inscribed in the ellips...

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

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  4. The sum of the perimeter of a circle and square is k, where k is some ...

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  5. A window is in the form of a rectangle surmounted by a semicircular op...

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  6. A point on the hypotenuse of a triangle is at distance a and b from th...

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  7. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  8. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  9. Find the points at which the function f given by f(x)=(x-2)^(4)(x+1)^(...

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  10. Find the absolute maximum and minimum values of the function given by ...

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  11. Show that the altitude of the right circular cone of maximum volume th...

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  12. Let f be a function defined on [a,b] such that f'(x)gt 0, for all x in...

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  13. Show that the height of the cylinder of maximum volume that can be ins...

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  14. Show that height of the cylinder of greatest volume which can be inscr...

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

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  16. The slope of the tangent to the curve x=t^(2)+3t-8, y=2t^(2)-2t-5 at t...

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  17. The line y= m x +1 is a tangent to the curve y^2 =4 x if th...

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  18. The normal at the point (1, 1) on the curve 2y+x^(2)=3 is …………

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  19. The normal to x^(2)=4y passing through (1, 2) has equation ……….

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  20. The points on the curve 9y^(2)=x^(3), where the normal to the curve ma...

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