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If the ratio of base radius and height of a cone is 1:2 and percentage error in radius is `lambda%` , then the error in its volume is `lambda%` (2) 2`lambda%` (c) 3 `lambda%` (d) none of these

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RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
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  2. Use differentials to find the approximate value of (log)e(4. 01), havi...

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  5. If y=x^n , then the ratio of relative errors in y and x is (a) 1:1 ...

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  6. Find the approximate change in the volume V of a cube of side x meters...

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  7. A circular metal plate expands under heating so that its radius inc...

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  9. If y=x^4-10 and if x changes from 2 to 1.99, what is the approximate c...

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  10. If in a triangle A B C , the side c and the angle C remain constant, w...

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  11. Using differentials find the approximate value of tan46^0, if it is be...

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

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  13. If a triangle ABC, inscribed in a fixed circle, be slightly varied in ...

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

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

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

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

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

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

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