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Find the approximate change in the volum...

Find the approximate change in the volume V of a cube of side x meters caused by increasing the side by 2%.

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The correct Answer is:
`6%`
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK
  1. Use differential to approximate (25)^((1)/(3)).

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  2. Find the approximate value of f(3.02), where f(x)=3x^(2)+5x+3.

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  3. Find the approximate change in the volume V of a cube of side x meters...

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  4. If the radius of a sphere is measured as 9m with an error of 0.03m, th...

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  5. Find the maximum and the minimum values, if any, of the function f giv...

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  6. Find the maximum and minimum values of f, if any, of the function give...

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  7. Find the maximum and the minimum values, if any, of the function given...

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  8. Find all points of local maxima and local minima of the function f giv...

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  9. Find all the points of local maxima and local minima of the function f...

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  10. Find local minimum value of the function f given by f(x)=3+|x|, x in R...

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  11. Find local maximum and local minimum values of the function f given by...

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  12. Find all the points of local maxima and local minima of the function f...

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  13. Find two positive numbers whose sum is 15 and the sum of whose squares...

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  14. Find the shortest distance of the point (0, c) from the parabola y=x^(...

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  15. Let AP and BQ be two vertical poles at points A and B respectively. If...

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  16. If length of three sides of a trapezium other than base are equal to 1...

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  17. Prove that the radius of the right circular cylinder of greatest curve...

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  18. Find the global maximum and minimum values of the function f given by ...

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  19. Find absolute maximum and minimum values of a function f given by f(x...

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  20. An Apache helicopter of enemy is flying along the curve given by y=x^(...

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