Question

find the percentage. error in z if z =a^1/3 b^4/c d^2/3​

Answer 1

Answer:

Explanation:

Here's your answer in the pic

Answer 2

The percentage error is as follows:

Explanation:

In this case, we need to find the percentage error in Z. Z is as follows :

$Z=a^{\dfrac{1}{3}}{\cdot}b^4{\cdot}c{\cdot}d^{\dfrac{2}{3}}$

The percentage error in a number is given by :

$%\=\dfrac{\Delta A}{A}\times 100$$\%=\dfrac{\Delta A}{A}\times 100$

$%\=\dfrac{\Delta A}{A}\times 100$In this case, the percentage error in Z is given by :

$\dfrac{\Delta Z}{Z}=\dfrac{1}{2}\dfrac{\Delta a}{a}\times 4\dfrac{\Delta b}{b}\times \dfrac{\Delta c}{c}+\dfrac{2}{3}\dfrac{\Delta d}{d}$

Hence, this is the required solution.

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