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The approximate change in the volume of ...

The approximate change in the volume of a cube of side x metres caused by increasing the side by 3% is ………….

A

`0.06 x^(3)("met")^(3)`

B

`0.6 x^(3)("met")^(3)`

C

`0.09 x^(3)("met")^(3)`

D

`0.9 x^(3)("met")^(3)`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -EXERCISE - 6.4
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  2. Using differentials, find the approzimate value of each of the followi...

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  3. Using differentials, find the approximate value of each of the up to 3...

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  4. Using differentials, find the approzimate value of each of the followi...

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  5. Using differentials, find the approximate value of each of the up to 3...

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  6. Using differentials, find the approzimate value of each of the followi...

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  7. Using differentials, find the approzimate value of each of the followi...

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  8. Using differentials, find the approximate value of each of the up to 3...

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  9. Using differentials, find the approximate value of each of the up to 3...

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  10. Using differentials, find the approximate value of each of the up to 3...

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  11. Using differentials, find the approximate value of each of the up to 3...

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  12. Using differentials, find the approximate value of each of the up to 3...

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  13. Find the approximate value of f(2.01), where f(x)=4x^(2)+5x+2.

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  14. Find the approximate value of f(5.001), where f(x)=x^(3)-7x^(2)+15.

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

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

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  17. If the radius of a sphere is measured as 7m with an error of 0.02 m, t...

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

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  19. If f(x)=3x^(2)+15x+5, then the approximate value of f(3.02) is ……….

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  20. The approximate change in the volume of a cube of side x metres caused...

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