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Find two positive numbers whose sum is 1...

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

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BODY BOOKS PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. Find two positive numbers whose sum is 16 and the sum of whose Cubes i...

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  2. A manufacture can sell x items at a price of Rs.(5-x/100) each. The co...

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

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  4. A ball is thrown vertically upwards which satisfies the equation S=80t...

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  5. Show that the function given by f(x)=3x+17 is strictly increasing on R...

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  6. Find the slope of the tangent to curve y=x^3-x+1 at the point whose x...

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  7. Find the equation of tangents and normals to the given curves y=x^3 at...

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  8. Choose the correct answer from the bracket The slope of the normal to ...

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  9. Use differentials to find the approximate value of (0.009)^(1/3) up to...

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  10. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find f'(x).

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  11. Consider the function f(x)=(-3)/4x^4-8x^3-45/2x^2+105. Find points of ...

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  12. Consider the curve 2y=3-x^2 Find the slope of the tangent to this curv...

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  13. Consider the curve 2y=3-x^2 Find the points on the curve at which tang...

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  14. Consider the curves x=y^2 and xy=k Differentiate both the equations wi...

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  15. Prove that the curve x=y^2 and xy=k cut at right angles, if 8k^2=1.

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  16. The total profit y (in rupee) of a drug company from the manufacture a...

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  17. The total profit y (in rupee) of a drug company from the manufacture a...

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

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  19. A man 160 cm tall, walks away from a source of light situated at the t...

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  20. It is given that at x = 1, the function x^4-62x^2+ax+9 attains its max...

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