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While measuring the side of an equilater...

While measuring the side of an equilateral triangle an error of k% is made, the percentage error in its area

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To find the percentage error in the area of an equilateral triangle when there is a k% error in measuring the side, we can follow these steps: ### Step-by-step Solution: 1. **Formula for the Area of an Equilateral Triangle**: The area \( A \) of an equilateral triangle with side length \( x \) is given by the formula: \[ A = \frac{\sqrt{3}}{4} x^2 ...
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RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
  1. If an error of k % is made in measuring the radius of a sphere, then p...

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

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

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

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

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

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

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  9. Use differentials to approximate sqrt(25. 2)

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

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

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

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  13. Find the percentage error in calculating the volume of a cubical bo...

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  14. The time t of a complete oscillation of a simple pendulum of length l ...

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  15. Find the approximate change in the volume V of a cube of side x met...

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

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  17. Find the approximate value of f(3. 02) , where f(x)=3x^2+5x+3 .

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  18. Find the approximate volume of metal in a hollow spherical shell wh...

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  19. Use differentials to approximate sqrt(25. 2) .

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  20. Use differentials to approximate the cube root of 127.

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