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If y=x^n , then the ratio of relative er...

If `y=x^n ,` then the ratio of relative errors in `ya n dx` is `1:1` (b) 2:1 (c) 1:n (d) n:1

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RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. Find the approximate change in the surface area of a cube of side x...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The pressure P and volume V of a gas are connected by the relation P V...

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  18. If y=x^n , then the ratio of relative errors in ya n dx is 1:1 (b) 2...

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  19. The approximate value of (33)^(1//5) is (a) 2.0125 (b) 2.1 (c) 2.01...

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  20. The circumference of a circle is measured as 28cm with an error of ...

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