Given the function:

asked 2021-06-01

Use L(x) to approximate the numbers \(\sqrt{3.9}\) and \(\sqrt{3.99}\) Round to four decimal places

asked 2021-06-11

asked 2021-08-11

Find the linear approximation of the function \(\displaystyle{f{{\left({x}\right)}}}=\sqrt{{{1}-{x}}}\) at a=0 and use it to approximate the numbers \(\displaystyle\sqrt{{{0.9}}}\) and \(\displaystyle\sqrt{{{0.99}}}\).

asked 2021-05-03

Find the linear approximation of the function \(f(x) = \sqrt{1-x}\) at a = 0 and use it to approximate the numbers \(\sqrt{0.9}\) and \(\sqrt{0.99}\). (Round your answers to four decimal places.)

L(x) =

\(\sqrt{0.9} \approx\)

\(\sqrt{0.99} \approx\)

L(x) =

\(\sqrt{0.9} \approx\)

\(\sqrt{0.99} \approx\)

asked 2021-09-16

Find the linearization L(x) of the function at a. \(\displaystyle{f{{\left({x}\right)}}}={x}^{{4}}\mp{3}{x}^{{2}}\), \(\displaystyle{a}=-{1}\)