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A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2 m and volume is 8 m3. If building of tank costs Rs 70 per square metre for the base and Rs 45 per square metre for sides, what is the cost of least expensive tank?

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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 8m3. If building of tank costs Rs 70 per square metre for the base and Rs 45 per square metre for sides,what is the cost of least expensive tank?

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 8m3. If building of tank casts Rs.70 per sq.metre for the base and Rs.45 per sq.metre for sides, what is the cost of least expensive tank?

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A rectangular grassy lawn measuring 30m by 28m is to be surrounded externally by a path which is 2m wide.Find the cost of levelling the path at the rate of Rs 5 per square metre.

The volume of a closed square based rectangular box is 1000 cubic metre. The cost of constructing the base is 15 paise per square metre and the cost of constructing the top is 25 paise per square metre. The cost of constructing its sides is 20 paise per square metre and the cost of constructing the box is Rs. 3.Find the dimensions of box for minimum cost of construction.

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Misellaneous Exercise on Chapter (6)
  1. Show that the normal at any point theta to the curve x=acostheta+at...

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  2. Find the intervals in which the function f given by f(x)=(4sinx-2x-x c...

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  3. Find the intervals in which the function f given by f(x)=x^3+1/(x^3), ...

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  4. Find the maximum are of the isosceles triangle inscribed in the ell...

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

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  6. The sum of the perimeter of a circle and square is k, where k is so...

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

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  8. A point on the hypotenuse of a triangle is at distance a and b from t...

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  9. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

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  10. Find the absolute maximum and minimum values of the function f give...

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

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  12. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

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

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

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

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

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  17. The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...

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  18. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

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  19. The normal to the curve x^(2)=4y passing (1, 2) is :

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

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