Question

Q.25 The maximum percentage error in A is 1%, B is 2% and in C is 3%. The
maximum percentage error in A^2B + C when A = 2 s, B = 3 m/s and C = 4 m is
Choose answer:
2%
3.75%
4.5%
7%​

Answer 1

Answer:

Explanation:its answer is.......

Answer 2

The maximum percentage error is 7 % .

Given :

The maximum percentage error in A is 1%, B is 2% and in C is 3%.

We need to find the maximum percentage error in $A^2B + C$ .

Let , $X=A^2B + C$

Therefore ,

$\dfrac{\Delta X}{X}=2\dfrac{\Delta A}{A}+\dfrac{\Delta B}{B}+\dfrac{\Delta C}{C}$

Multiplying each side by 100 to convert it into percentage .

$\dfrac{\Delta X\times 100}{X}=2\dfrac{\Delta A\times 100}{A}+\dfrac{\Delta B\times 100}{B}+\dfrac{\Delta C\times 100}{C}\\\\Percentage \ Error = 2\times 1 \%+2\%+3\%\\\\Percentage \ Error =7\%$

Hence , this is the required solution .

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