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Find the maximum and minimum values of x...

Find the maximum and minimum values of `x + sin 2x` on `[0, 2pi]`

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PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. Find the maximum value of 2x^3 - 24x + 107 in the interval [1,3]. Fin...

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

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  3. Find the maximum and minimum values of x + sin 2x on [0, 2pi]

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  4. . Find two numbers whose sum is 24 and whose product is as large as po...

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

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  6. Find two positive numbers x and y such that their sum is 35 and the pr...

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  7. Find two positive numbers whose sum is 16 and whose sum of cubes is mi...

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  8. A square piece of tin of side 18 cm is to be made into a box without t...

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

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  10. Show that of all rectangles inscribed in a given circle the square has...

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

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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 pieces ...

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  14. Prove that volume of largest cone, which can be inscribed in a sphere,...

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

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  16. Show that the semi-vertical angle of the right-circular cone of maximu...

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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 = 2y which is nearest to the point (0,5) is...

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

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

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