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Find two positive numbers whose sum is 16 and the sum of whose cubes is minimum.

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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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