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Divide the number 20 into two parts such...

Divide the number 20 into two parts such that their product is maximum.

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CHETANA PUBLICATION-Applications of Derivatives-Exercise
  1. Find the values of x, such that f(x) = 2x^3- 15x^2 -84x-7 is a decreas...

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  2. Show that the function f(x) = frac {4x^3 +1 }{x} is a decreasing func...

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  3. Divide the number 20 into two parts such that their product is maximum...

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  4. A metal wire of 36 cm long is bent to form a rectangle. Find its dimen...

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  5. A rectangular sheet of paper has area 24 sq. meters. The margin at t...

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  6. The frequency of a sound wave is n and its velocity is v. If the frequ...

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  7. An open cylindrical tank whose base is a circle is to be constructed ...

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  8. A manufacture can sell x items at the rate of ₹ (330-x) each. The cos...

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  9. Find the co-ordinates of the points on the curve 4y=x^2, which are n...

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  10. Two sides of a triangle are given, find the angle between them such th...

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  11. The combined resistance R of two resistance R1 and R2, where R1, R2 ge...

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  12. Determine the extreme values of the function. a^2 cos^2x+b^2 sin^2x. ...

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  13. Discuss the extreme values of f(x) = x^5 -3 x^4+5

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  14. If the sum of the length of the hypotenuse and another side of a righ...

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  15. The slant side of a right circular cone is l. Show that the semi verti...

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  16. If the function f(x) = ax^3 + b x^2+11x - 6 satisfies conditions of ...

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  17. If f(x) = frac {x^2 -1}{x^2 +1}, for every real x, then the minimum v...

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  18. A ladder 5 m in length is resting against vertical wall. The bottom of...

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  19. Let f (x) and g (x) be differentiable for 0 < x < 1 such f(0)= 0 , g (...

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  20. Let f (x) = x^3-6x^2 +9x +18, then f(x) is strictly decreasing in- A) ...

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