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A square sheet of tin whose side is 18 c...

A square sheet of tin whose side is 18 cm to be made into a box without top by cutting off squares from each comer and folding up the flaps. What should be the side of the square to be cut off so that the volume of the box is maximum ?

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3 cm
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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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