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A physical quantity `x` is calculated from the relation `x = ( a^(2) b^(3))/(c sqrt( d))`. If the percentage error in `a, b , c , and d are 2% , 1% , 3%, and 4%`, respectively , what is the percentage error in `x`?A. `+-11%`B. `+-13%`C. `+-12%`D. `+-14%` |
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Answer» `(Deltax)/(x)= +-((2Deltaa)/(a)+(3Deltab)/(b)+(Deltac)/(c )+(Deltad)/(2d))` `=+-(2xx2+3xx1+3+(1)/(2)xx4)= +- 12%` |
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