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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^3m^3` (B) 0.6 `x^3m^3` (C) 0.09 `x^3m^3` (D) 0.9 `x^3m^3`

A

`0.06 x^(3)` m

B

`0.6 x^(3) m^(3)`

C

`0.09 x^(3) m^(3)`

D

`0.9 x^(3) m^(3)`

Text Solution

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The correct Answer is:
C
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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.4
  1. Using differentials, find the approximate value of each of the up to 3...

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

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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 approximate value of each of the up to 3...

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  5. Find approminate value of (255)^((1)/(4)).

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  6. Using differentials, find the approximate value of (82)^(1/4) upto ...

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  7. Using differentials, find the approximate value of sqrt(401)

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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 met...

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

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

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

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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 cause...

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