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Find two numbers x and y such that their...

Find two numbers x and y such that their sum is 35 and the product `x^2y^5` is a maximum.

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V PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find two numbers whose sum is 24 and whose product as large as possibl...

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

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  3. Find two numbers x and y such that their sum is 35 and the product x^2...

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  4. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

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  5. An rectangle sheet of tin with adjascent sides 45 cm and 24 cm is to b...

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  6. Show that all rectangles with a given perimeter, the square has the ma...

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  7. Of all the cylinders with given surface area, show that the volume is ...

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

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  9. A wire of length 28 m is cut into two pieces. One of the Pieces is be ...

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

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  11. The point on the curve x^2=2y which is nearest to the point (0,5) is -...

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  12. Choose the correct answer. For all real values of x , the minimum valu...

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  13. The maximum value of [x(x-1)+1]^(1//3)0lexle1is a) (1/2)^(1/3) b)1/2 c...

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  14. A man of 2 m height walks at a uniform speed of 6km/h away from a lam...

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  15. Find intervals in which the function given by f(x)=3/(10) x^4-(4/5) x^...

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  16. The functions f(x) = tan ^(-1) (sin x +cos x ) , x gt 0 is always a...

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  17. A circular disc of radius 3 cm is being heated. Due to expansion, its ...

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  18. An open topped box is to be constructed by removing equal squares from...

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  19. Manufacturer can sell, x items at a price of rupees (5-(x/100)) each. ...

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  20. Show that the function given by f(x)=(log x)/x has maximum at x=e.

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