A.\(y = {x^3} - 3{x^2} + 1\)
B.\(y = \dfrac{1}{2}{x^3} - 3{x^2} + \dfrac{9}{2}x + 1\)
C.\(y =  - \dfrac{1}{2}{x^3} + 3{x^2} + \dfrac{9}{2}x + 1\)
D.\(y = \dfrac{1}{2}{x^3} + \dfrac{3}{2}{x^2} - 2x + 1\)

A.\(y' = {2^{2x}}\ln 2\)
B.\(y' = 2x{2^{2x - 1}}\)
C.\(y' = {2^{2x + 1}}\ln 2\)
D.\(y' = {2^{2x - 1}}\)

A.\(y = \dfrac{{2x + 1}}{{x - 3}}\)
B.\(y = \dfrac{{x - 1}}{{x + 1}}\)
C.\(y = \dfrac{{x + 5}}{{ - x - 1}}\)
D.\(y = \dfrac{{x - 2}}{{2x - 1}}\)

A.\(20\pi \)
B.\(40\pi \)
C.\(160\pi \)
D.\(80\pi \)

A.\(6{a^3}\)
B.\(3{a^3}\)
C.\(2{a^3}\)
D.\({a^3}\)

A.\(16\sqrt 2 {a^3}\)
B.\(2\sqrt 2 {a^3}\)
C.\(8{a^3}\)
D.\({a^3}\)

A.400
B.1200
C.300
D.600

A.4
B.3
C.2
D.1

A.4
B.1
C.2
D.3

A.4
B.1
C.3
D.2