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Show that semi-vertical angle of right c...

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is `sin^-1(1/3)`.

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NCERT TELUGU-APPLICATION OF DERIVATIVES-EXERCISE 6.5
  1. What is the maximum value of the function sinx + cosx?

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  2. Find the product of monomials 2z^(2),10x^(2)yz,9x^(2)

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  3. It is given that at x = 1, the function x^(4) – 62x^(2) + ax + 9 attai...

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

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  5. Find two numbers whose sum is 24 and whose product is as large as poss...

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  6. Find the positive integers x and y such that x+y=60 " and " xy^(3) is...

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

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  8. Find two positive integers whose sum is 16 and the sum of squares is m...

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  9. A square sheet of tin whose side is 18 cm to be made into a box withou...

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

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

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  12. Find the product of following monomials 10a^(2)b^(2),3a^(3),5b^(3)

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  13. If all the closed cylindrical cans (right circular), which enclose a g...

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

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

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

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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 closest 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))...

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  20. If f(x)=|x-1|+|x-2|+|x-3| when 2 lt x lt 3 is

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