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14. Differentials, Errors and Approximations
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Q2 of 61 Page 14

If y = loge x, then find Δy when x = 3 and Δx = 0.03.

given that

Y=logx then y’=1/x


Δy=?


X=3


Δx=0.03


By putting the values of above in the formula we get




Δy=0.01


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12

Mark the correct alternative in the following:

The circumference of a circle is measured as 28 cm with an error of 0.01 cm. The percentage error in the area is


1

For the function y = x2, if x = 10 and Δx = 0.1. Find Δy.

3

If the relative error in measuring the radius of a circular plane is α, find the relative error measuring its area.

4

If the percentage error in the radius of a sphere is α, find the percentage error in its volume.

Questions · 61
14. Differentials, Errors and Approximations
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