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The value of `(127)^(1//3)` to four decimal places, isA. `5.0267`B. `5.4267`C. `5.5267`D. `5.001` |
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Answer» Correct Answer - A Let `y=x^(1//3), x=125 and x+ Delta x =127`. Then, `dy/dx=1/(3x^(2//3)) Delta x = 2` When, x =125, we have `y=5 and dy/dx=1/75` `:." "Deltay=dy/dx Deltax rArr Deltay= 1/75 xx2=2/75` `:." "(127)^(1//3) = y+ Deltay=5+2/75=5+8/3 xx1/100` `rArr" "(127)^(1//3) = 5+(2.6667)/100=5.02667 cong 5.0267` |
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