Question

Use local linearization to approximate √49.2 as follows: Let f(x)=√x. The local linearization of f at...

Use local linearization to approximate √49.2 as follows: Let f(x)=√x.

The local linearization of f at 49 is lsub49(x)=ysub0+m(x−49), where m= (___?___) and ysub0= (___?___)

Using this, we find our approximation √49.2≈lsub49(49.2)= (___?___)

NOTE: For this part, use fractions or give your approximation to at least 9 significant figures. I put "sub" before any subscript number. Thank you :)

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