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Divide 20 into two parts such that the p...

Divide 20 into two parts such that the product of one part and the cube of the other is maximum. The two parts are

A

75

B

91

C

84

D

96

Text Solution

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The correct Answer is:
A
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PUNEET DOGRA-APPLICATION OF DERIVATIVES-PREV YEAR QUESTIONS
  1. Divide 20 into two parts such that the product of one part and the cub...

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  2. For x gt 0, what is the minimum value of x+(x+2)/(2x)?

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  3. A curve y = me^(mx) where m gt 0 intersects y-axis ai a point P, W...

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  4. A curve y = me^(mx) where m gt 0 intersects y-axis ai a point P, H...

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  5. Find the equation of tangent of the curve 6y=9-3x^(2) at point (1,1).

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  6. If x^(2)-6x-27gt0, then which one of the following is correct ?

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  7. In which one of the following intervals is lite function f(x) = x^(2) ...

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  8. In which one of the following intervals is lite function f(x) = x^(2) ...

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  9. What is the minimum value of a^(2)x + b^(2)y, if xy = c^(2)

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  10. If x^(2)+y^(2)=r^(2), then x is equal to

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  11. A solid cylinder has total surface area of 462 sq. cm. Its curved surf...

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  12. What is the minimum value off |x(x-1)+1|^(1//3), where 0 le x le 1?

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  13. A flower in the form of a sector has been fenced by a wire of 40 m len...

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  14. In the interval (-1, 1), the function f(x) = x^(2) - x + 4 is :

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  15. The function f(x) = sin x + cos x will be

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  16. If sin theta - cos theta = 0 then find the value of cot theta

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  17. What is the maximum value of 16 sin theta -12 sin^(2)theta ?

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  18. Three sides of a trapezium are each equal to 6 cm. Let a in (0,pi/2)...

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  19. Three sides of a trapezium are each equal to 6 cm. Let a in (0,pi/2)...

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  20. The length of the parallel sides of a trapezium are 51 cm and 21 cm , ...

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  21. Which one of the following is the second degree polynomial function f(...

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