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Using differentials, find the approxi...

Using differentials, find the approximate value of `sqrt(0. 082)`

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RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. Using differentials, find the approximate value of (3. 968)^(3//2)

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  2. Using differentials, find the approximate value of (1. 999)^5

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  3. Using differentials, find the approximate value of sqrt(0. 082)

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  4. Find the approximate value of f(2. 01) , where f(x)=4x^2+5x+2 .

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

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  6. Find the approximate value of (log)(10)1005 , given that (log)(10)e...

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

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

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

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  10. Find the approximate change in the volume of a cube of side x metre...

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  11. For the function y=x^2 , if x=10 and x=0. 1 . Find y .

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  12. If y=(log)e x , then find y when x=3 and x=0. 03 .

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  13. If the relative error in measuring the radius of a circular plane i...

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  14. If the percentage error in the radius of a sphere is alpha , find t...

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  15. A piece of ice is in the form of a cube melts so that the percentag...

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  16. If there is an error of 2% in measuring the length of simple pendulum,...

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  17. If there is an error of a% in measuring the edge of a cube, then pe...

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  18. If an error of k% is made in measuring the radius of a sphere, then...

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  19. The height of a cylinder is equal to the radius. If an error of alp...

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  20. While measuring the side of an equilateral triangle an error of k %...

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