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Question

The value of (127)1/3 to four decimal places is


A

5.0267

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B

5.4267

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C

5.5267

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D

5.001

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Solution

The correct option is A

5.0267


Let y = x1/3,x=125 and x+Δx=127. Then,
dydx=13x2/3 and Δ x=0
When, x = 125, we have
y=5 and dydx=175
y=dydxΔ xΔ y175×2=275
(127)1/3=y+Δ y=5+275=5+83×1100
(127)1/3=5+(2.6667)100=5.02667=5.0267
Hence (a) is the correct answer.


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