A.\(\left( { - \infty ;\,\,\dfrac{1}{2}} \right)\)
B.\(\left( { - \infty ;\,\,\dfrac{1}{2}} \right]\)
C.\(\left( {\dfrac{1}{2};\,\, + \infty } \right)\)
D.\(\left[ {\dfrac{1}{2};\,\, + \infty } \right)\)

A.\(\left\{ \begin{array}{l}{x^2} - 2x - 3 > 0\\ - 2{x^2} + x - 1 < 0\end{array} \right.\)
B.\(\left\{ \begin{array}{l}{x^2} - 2x - 3 < 0\\ - 2{x^2} + x - 1 > 0\end{array} \right.\)
C.\(\left\{ \begin{array}{l}{x^2} - 2x - 3 > 0\\2{x^2} + x + 1 > 0\end{array} \right.\)
D.\(\left\{ \begin{array}{l}{x^2} - 2x - 3 < 0\\2{x^2} - x + 1 > 0\end{array} \right.\)

A.\( - \dfrac{{20}}{9} \le m \le 0\)
B.\(m \le 0\)
C.\(m \ge  - \dfrac{{20}}{9}\)
D.\(m > 0\)

A.\(m >  - \dfrac{1}{3}\)
B.\(m > 0\)
C.\(m \ge  - \dfrac{1}{3}\)
D.\(m >  - 15\)

A.\(m \in \left( { - \infty ;\,\, - 2} \right) \cup \left( {\dfrac{1}{3};\,\, + \infty } \right)\)
B.\(m \in \left( { - \infty ;\,\,0} \right) \cup \left( {\dfrac{1}{3};\,\, + \infty } \right)\)
C.\(m \in \left( { - \infty ;\,\, - 2} \right) \cup \left( {0;\,\, + \infty } \right)\)
D.\(m \in \left( {0;\,\,\dfrac{1}{3}} \right)\)

A.89327
B.83927
C.72386
D.92783

A.380
B.308
C.38
D.3080

A.\(\left( { - 2;0} \right)\)
B.\(\left( { - \infty ; - 2} \right)\)
C.\(\left( {0;2} \right)\)
D.\(\left( {0; + \infty } \right)\)

A.\(V = \pi \int\limits_a^b {{f^2}\left( x \right)dx} \)  
B.\(V = 2\pi \int\limits_a^b {{f^2}\left( x \right)dx} \)  
C.\(V = {\pi ^2}\int\limits_a^b {{f^2}\left( x \right)dx} \)  
D.\(V = {\pi ^2}\int\limits_a^b {f\left( x \right)dx} \)

A.\(x = 1\)
B.\(x = 0\)
C.\(x = 5\)
D.\(x = 2\)