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

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To find the approximate value of \( \log_{10} 1005 \) given that \( \log_{10} e = 0.4343 \), we can use differentials. Here’s a step-by-step solution: ### Step 1: Identify the known values We know: - \( \log_{10} e = 0.4343 \) - We want to find \( \log_{10} 1005 \) ### Step 2: Set up the function ...
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RD SHARMA ENGLISH-DIFFERENTIALS, ERRORS AND APPROXIMATIONS-All Questions
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  3. The pressure p and the volume v of a gas are connected by the relati...

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  4. Find the percentage error in calculating the surface area of a cubi...

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  5. A circular metal plate expends under heating so that its radius inc...

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  6. The radius of a sphere shrinks from 10 to 9.8 cm. Find approximately ...

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  7. If y=sinxa n dx change from pi/2to(22)/(14), what is the approximat...

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  8. find the approximate volume of metal in a hollow spherical shell whose...

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

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  10. Use differentials to find the approximate value of (log)e(4. 01), havi...

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  11. If the ratio of base radius and height of a cone is 1:2 and percentage...

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

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

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

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

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

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

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

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

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

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