Using differentials, find the approximate value of each of the following up to 3 places of decimal.


Consider y =


Let x = 4 and Δx = -0.032. Then, we get


Δy =


=



= Δy + 8


Now, dy is approximately equal to Δy and is given by:


dy =




= 3(-0.032)


= -0.096


Therefore, the approximate value of is 7.904.


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