Question
The value of (127)1/3 to four decimal places is
Answer: Option A
:
A
Let y = x1/3,x=125 and x+Δx=127. Then,
dydx=13x2/3andΔx=0
When, x = 125, we have
y=5anddydx=175
∴y=dydxΔx⇒Δy175×2=275
∴(127)1/3=y+Δy=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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:
A
Let y = x1/3,x=125 and x+Δx=127. Then,
dydx=13x2/3andΔx=0
When, x = 125, we have
y=5anddydx=175
∴y=dydxΔx⇒Δy175×2=275
∴(127)1/3=y+Δy=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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