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The sum of the perimeter of a circle and...

The sum of the perimeter of a circle and square is k, where k is some constant. Prove that the sum of their areas is least when the side of square is double the radius of the circle.

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The correct Answer is:
`x=2r, (d^(2)A)/(dx^(2))gt 0`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -MISCELANEOUS EXERCISE - 6
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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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