find the maclaurin polynomial of \(\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{1}}+{x}+{x}^{{2}}\)

asked 2021-05-17

\(\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{1}}+{x}+{x}^{{2}}\). find the maclaurin polynomial

asked 2021-05-05

Find f(t).

\(L^{-1}\left\{\frac{e^{-\pi s}}{s^2+1}\right\}\)

\(L^{-1}\left\{\frac{e^{-\pi s}}{s^2+1}\right\}\)

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 2021-11-14

Find f’ in terms of g’.

\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}{g{{\left({x}\right)}}}\)

\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}{g{{\left({x}\right)}}}\)

asked 2021-11-10

Write the formula for the derivative of the function.

\(\displaystyle{f{{\left({x}\right)}}}={12}{x}^{{{4}}}+{19}{x}^{{{3}}}+{9}\)

f'(x)=

\(\displaystyle{f{{\left({x}\right)}}}={12}{x}^{{{4}}}+{19}{x}^{{{3}}}+{9}\)

f'(x)=

asked 2021-09-21

Find the nth Maclaurin polynomial for the function. \(\displaystyle{f{{\left({x}\right)}}}={e}^{{-{x}}},{n}={5}\)

asked 2021-02-02

(a) find the Maclaurin polynomial \(\displaystyle{P}_{{{3}}}{\left({x}\right)}\) for f(x), (b) complete the following

\(\begin{array}{|c|c|}\hline x: & -0.75 & -0.50 & -0.25 & 0 & 0.25 & 0.50 & 0.75 \\ \hline \end{array}\)

for f(x) and \(P_{3}(x)\) and (c) sketch the graphs of f(x) and \(\displaystyle{P}_{{{3}}}{\left({x}\right)}\) on the same set of coordinate axes. \(\displaystyle{f{{\left({x}\right)}}}={\arctan{{x}}}\)