Question

Linear approximation Posting attachment

Answer 1

why is it a linear approximation of (0.1)^(1/2)

Answer 2

I understand that if (0.9)^(1/2) = (1-x)^(1/2) to be true x has to equal 0.1

but have no idea where the (0.1)^(1/2) comes from

Answer 3

Everything seems logical except for the (0.1)^(1/2)

Answer 4

We plug that into the equation of the tangent line for an approximation of where x=0.1 is and thus where (0.9)^(1/2) is it just an error?

Answer 5

Im just going to assume it is an error and should be (0.9)^(1/2)

Answer 6

that is a typo it should be .9 u're right

Answer 7

thanks :)