Tìm các tham số thực a, b để hàm số sau liên tục, khả vi tại x = - 2.

\[f\left( x \right) = \left\{ {\begin{array}{*{20}{c}}{a{x^2} + 4x,x \le - 2}\\{\sin \left( {x + 2} \right) + 2bx,x > - 2}\end{array}} \right.\]

A. S = 2

B. S = 3

C. S = 1

D. S = 0

A. I = 2

B. I = 1

C. \[I = \frac{1}{2}\]

D. I = 0

A. \[\frac{{20}}{\pi }cm\]

B. \[\frac{{10}}{\pi }cm\]

C. \[\frac{{30}}{{{\pi ^2}}}cm\]

D. 20 cm

A. \[{f^{\left( {2018} \right)}}\left( 2 \right) = - 2016!\]

B. \[{f^{\left( {2018} \right)}}\left( 2 \right) = - 2018!\]

C. \[{f^{\left( {2018} \right)}}\left( 2 \right) = - 2017!\]

D. \[{f^{\left( {2018} \right)}}\left( 2 \right) = - 2019!\]

A. Q = 50

B. Q = 49

C. Q = 52

D. cả A, B, C đều sai

A. \[\frac{1}{{2\pi }}\left( {0,16} \right){m^3}/s\]

B. \[\frac{1}{{2\pi }}\left( {0,16} \right)m/s\]

C. \[\frac{1}{{2\pi }}\left( {0,08} \right)m/s\]

D. \[\frac{1}{{2\pi }}\left( {0,08} \right){m^3}/s\]

A. \[\frac{{2f'\left( {2x - 1} \right)}}{{{e^{f\left( {2x - 1} \right)}} - 1}}\]

B. \[\frac{{{e^{f\left( {2x - 1} \right)}}f'\left( {2x - 1} \right)}}{{{e^{f\left( {2x - 1} \right)}} - 1}}\]

C. \[\frac{{2.{e^{f\left( {2x - 1} \right)}}f'\left( {2x - 1} \right)}}{{{e^{f\left( {2x - 1} \right)}} - 1}}\]

D. \[ - \frac{{2.{e^{f\left( {2x - 1} \right)}}f'\left( {2x - 1} \right)}}{{{e^{f\left( {2x - 1} \right)}} - 1}}\]