A.\(y' = x{.3^{x - 1}}\)
B.\(y' = {3^x}\ln 3\)
C.\(y' = \dfrac{{{3^x}}}{{\ln 3}}\)
D.\(y' = \dfrac{{\ln 3}}{{{3^x}}}\)

A.\({a^{\frac{9}{4}}}\)
B.\({a^{\frac{1}{2}}}\)
C.\({a^{\frac{3}{4}}}\)
D.\({a^{\frac{1}{8}}}\)

A.\(\left( {0; + \infty } \right)\)
B.\(\left( { - \infty ; + \infty } \right)\)
C.\(\left( { - \infty ;0} \right)\)
D.\(\left( { - 1;1} \right)\)

A.\(8\pi \)
B.\(32\pi \)
C.\(16\pi \)
D.\(\dfrac{{32\pi }}{3}\)

A.\(R = 8\)
B.\(R = 4\)
C.\(R = 2\)
D.\(R = 1\)

A.2
B.0
C.3
D.1

A.\({a^3}\)
B.\(\dfrac{{{a^3}}}{9}\)
C.\(\dfrac{{{a^3}}}{3}\)
D.3\({a^3}\)

A.\({x_{CD}} = \sqrt 2 \)
B.\({x_{CD}} = -\sqrt 2 \)
C.\({x_{CD}} = 0\)
D.\({x_{CD}} = \pm \sqrt 2 \)

A.\(V = \dfrac{{13\pi }}{{15}}\)
B.\(V = \dfrac{{16\pi }}{{15}}\)
C.\(V = \dfrac{{17\pi }}{{15}}\)
D.\(V = \dfrac{{19\pi }}{{15}}\)

A.\(S = \int\limits_4^{ - 2} {\left| {{x^2} - 2021} \right|dx} \)          
B.\(S = \int\limits_{ - 2}^4 {\left| {{x^2} - 2021} \right|dx} \)
C.\(S = \int\limits_{ - 2}^4 {\left( {{x^2} - 2021} \right)dx} \)           
D.\(S = \int\limits_{ - 2}^4 {{{\left( {{x^2} - 2021} \right)}^2}dx} \)