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Question -

Find the approximate value of┬аf┬а(2.01),where┬аf┬а(x) = 4x2┬а+5x┬а+ 2



Answer -

Let┬аx┬а= 2 and ╬Фx┬а=0.01. Then, we have:

f(2.01)=┬аf(x┬а+ ╬Фx) = 4(x┬а+ ╬Фx)2┬а+5(x┬а+ ╬Фx) + 2

Now, ╬Фy┬а=┬аf(x┬а+╬Фx) тИТ┬аf(x)

тИ┤┬аf(x┬а+ ╬Фx) =┬аf(x)+ ╬Фy

Hence, the approximate value of┬аf┬а(2.01)is 28.21.

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