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Q.

Use differential to approximate 16.6

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a

4.4

b

1.3712

c

4.075

d

4.175

answer is C.

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Detailed Solution

Take y=x, let x=16 and Δx=0.6Δy=(x+Δx)−x=16.6−16 =16.6−4 or 16.6=Δy+4 Now dy is approximately equal to Δy and is given by dy=dydxΔx= 12x(0.6)dy=1(216)(0.6)−18(0.6)=0.075

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