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Find the approximate value of `(log)_(10)1005` , given that `(log)_(10)e=0. 4343`

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Using differentials, find the approximate value of (log)_(10)10. 1 , it being given that (log)_(10)e=0. 4343 .

Using differentials, find the approximate value of log_(10)10.1 when log_(10)e=0.4343 .

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RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. Find the approximate value of f(2. 01) , where f(x)=4x^2+5x+2 .

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If (log)e4=1. 3868 , then (log)e 4.01= (a) 1.3968 (b) 1.3898 (c) 1.38...

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  19. A sphere of radius 100 mm shrinks to radius 98 mm, then the approxi...

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  20. If the ratio of base radius and height of a cone is 1:2 and percent...

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