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Show that the relative error in computing the volume of a sphere, due to an error in measuring the radius, is approximately equal to three times the relative error in the radius ?
Concept: undefined >> undefined
1 Using differential, find the approximate value of the following:
\[\sqrt{25 . 02}\]
Concept: undefined >> undefined
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Using differential, find the approximate value of the following: \[\left( 0 . 009 \right)^\frac{1}{3}\]
Concept: undefined >> undefined
Using differential, find the approximate value of the following: \[\left( 0 . 007 \right)^\frac{1}{3}\]
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\sqrt{401}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\left( 15 \right)^\frac{1}{4}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\left( 255 \right)^\frac{1}{4}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\frac{1}{(2 . 002 )^2}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the loge 4.04, it being given that log104 = 0.6021 and log10e = 0.4343 ?
Concept: undefined >> undefined
Using differential, find the approximate value of the loge 10.02, it being given that loge10 = 2.3026 ?
Concept: undefined >> undefined
Using differential, find the approximate value of the log10 10.1, it being given that log10e = 0.4343 ?
Concept: undefined >> undefined
Using differentials, find the approximate values of the cos 61°, it being given that sin60° = 0.86603 and 1° = 0.01745 radian ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\frac{1}{\sqrt{25 . 1}}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\sin\left( \frac{22}{14} \right)\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\cos\left( \frac{11\pi}{36} \right)\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\left( 80 \right)^\frac{1}{4}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\left( 29 \right)^\frac{1}{3}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\left( 66 \right)^\frac{1}{3}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\sqrt{26}\] ?
Concept: undefined >> undefined
Using differential, find the approximate value of the \[\sqrt{37}\] ?
Concept: undefined >> undefined
