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Find the percentage error in calculating...

Find the percentage error in calculating the surface area of a cubical box if an error of 1% is made in measuring the lengths of edges of the cube.

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The correct Answer is:
`2%`
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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE 6 (d) (Long Answer Type Questions (I))
  1. In the following find the approximate values, using differentials : ...

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  2. In the following find the approximate values, using differentials : ...

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  3. In the following find the approximate values, using differentials : ...

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  4. In the following find the approximate values, using differentials : ...

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  5. Find approximation value of (3.968)^(3/2) using differentials.

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  6. In the following find the approximate values, using differentials : ...

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  7. Find the approximate value of : f(3.02)," where "f(x)=3x^(2)+15x+3

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  8. Find the approximate value of f (5. 001), where f(x)=x^3-7x^2+15.

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  9. Find the approximate change in the volume V of a cube of side x met...

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  10. Find the approximate change in the surface area of a cube of side x...

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  11. If the radius of a sphere is measured as 9 cm with an error of 0.03...

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  12. cos 61^(@), it being given that sin 60^(@) = 0.86603 and 1^(@) = 0.017...

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  13. Find the approximate change in the value of (1)/(x^(2)). when x change...

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  14. Using differentiation, find the approximate value of f(3.01), where f(...

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  15. Use differentials, find the approximate value of the following : sin...

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  16. Use differentials, find the approximate value of the following : cos...

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  17. If y=sinxa n dx change from pi/2to(22)/(14), what is the approximat...

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  18. A circular metal plate expands under heating so that its radius inc...

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  19. Find the percentage error in calculating the surface area of a cubi...

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  20. The radius of a spherical diamond is measured as 6 cm with an error of...

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