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Show that the height of a closed right c...

Show that the height of a closed right circular cylinder of given surface and maximum volume is equal to diameter of base.

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SHARAM PUBLICATION-APPLICATIONS OF DERIVATIVES-EXAMPLE
  1. A cylindrical open water tank with a circular base is to be made out o...

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  2. Show that the semi-vertical angle of the cone of the maximum volume an...

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  3. Show that the height of a closed right circular cylinder of given surf...

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  4. Shows that the triangle of greatest area that can be inscribed in a ci...

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  5. Find the tangent to the curve y = cos (x + y), 0 le x le 2pi which is ...

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  6. Find the minimum distance of a point on the curve 2/x^2+1/y^2= 1 from...

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  7. Find the minimum value of 64 sec theta + 27 cosec thetawhen theta lies...

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  8. Show that the minimum distance of a point on the curve (a^(2))/(x^(2))...

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  9. Show that the length of the portion of the tangent to x^(2/3) + y^(2/3...

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  10. Show that the sum of the intercepts on the coordinate axes of any tang...

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  11. Find the equation of the normal to the curve given by x = cos^3theta ,...

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  12. Find the point on the curve y^2-x^2 + 2x-1= 0 where the tangent is par...

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  13. Show that the tangent to the curve y=x^2+3x-2 at (1,2) is parallel to ...

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  14. Show that the curves y = 2^(x) and y = 5^(x) intersect at an angle tan...

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  15. Find the altitude of a right circular cylinder of maximum volume inscr...

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  16. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

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  17. Find two numbers x and y whose sum is 15 such that xy^2 is maximum.

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  18. Find the values of x for which f(x) = x^4+2x^3-2x^2-6x+5 is locally ma...

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  19. Find the interval where y=sinx-cosx x in [0,2pi] is increasing.

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  20. Find the maximum value of y=(1+cosx) sinx,xepsilon[0,(3pi)/(4)]

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