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

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

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To solve the problem, we need to find the ratio of the relative errors in \( y \) and \( x \) when \( y = x^n \). ### Step-by-Step Solution: 1. **Define the relative errors**: - The relative error in \( y \) is given by: \[ \text{Relative Error in } y = \frac{\Delta y}{y} ...
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RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
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  13. If there is an error of a% in measuring the edge of a cube, then pe...

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

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  15. The height of a cylinder is equal to the radius. If an error of alpha%...

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  16. A sphere of radius 100mm shrinks to radius 98mm, then the approximate ...

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  17. If (log)e4-1. 3868 ,t h e n(log)e 4.01= 1.3968 (b) 1.3898 (c) 1.38...

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  18. Find the percentage error in calculating the volume of a cubical box i...

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  19. The approximate value of (33)^(1/5) is

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