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Show that the right circular cylinder...

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

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-NCERT - FILE (Question from NCERT Book) (Exercise 6.5)
  1. Find the maximum value of 2x^3-24 x+107 in the interval [1,\ 3] . F...

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  2. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  3. Find the maximum and minimum values of x + s in 2xon [0,2pi].

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  4. Find the two numbers with maximum product and whose sum is 24.

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  5. Find two positive numbers x and y such that x + y = 60and x y^3is max...

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  6. Find two positive number m and n such that their sum is 35 and the pro...

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  7. Find two positive numbers whose sum is 16 and the sum of whose cube...

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  8. A square piece of tin of side 18 cm is to be made into a box withou...

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  9. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box ...

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  10. Show that of all the rectangles inscribed in a given fixed circle, ...

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  11. Show that the right circular cylinder of given surface and maximum ...

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  12. Of all the closed cylindrical cans (right circular), of a given volume...

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  13. A wire of length 28 m is to be cut into two pieces. One of the piec...

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  14. Prove that the volume of the largest cone, that can be inscribed in...

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  15. Show that the right-circular cone of least curved surface and given...

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  16. Show that the semi-vertical angle of the cone of the maximum volume a...

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  17. Show that semi-vertical angle of right circular cone of given surface...

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  18. The point on the curve x^2=2ywhich is nearest to the point (0, 5) is(A...

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  19. For all real values of x, the maximum value of (1-x+x^(2))/(1+x+x^(2))...

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

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