Đề số 24

A.\(\ln \left( {a{b^2}} \right) = \ln a + {\left( {\ln b} \right)^2}.\)

B.\(\ln \left( {ab} \right) = \ln a.\ln b.\)

C.\(\ln \left( {a{b^2}} \right) = \ln a + 2\ln b.\)

D. \(\ln \frac{a}{b} = \frac{{\ln a}}{{\ln b}}.\)

A.1.

B.3.

C.\( - 1.\)

A.\(A_{26}^6.\)

B. 26.

C.\({P_6}.\)

D. \(C_{26}^6.\)

A.\(M'\left( {12; - 2} \right).\)

B.\(M'\left( {1; - 6} \right).\)

C.\(M'\left( { - 12;2} \right).\)

D. \(M'\left( { - 6;1} \right).\)

A.\(y = \ln x.\)

B.\(y = {\log _{\frac{2}{3}}}x.\)

C.\(y = \log x.\)

D. \(y = {\log _{\frac{5}{2}}}x.\)

A.\(\left\{ {\frac{\pi }{2} + k2\pi ,k \in \mathbb{Z}} \right\}.\)

B.\(\left\{ {k2\pi ,k \in \mathbb{Z}} \right\}.\)

C.\(\left\{ {\frac{\pi }{4} + k\pi ,k \in \mathbb{Z}} \right\}.\)

D. \(\left\{ {k\pi ,k \in \mathbb{Z}} \right\}.\)

A. 30.

B.5.

C. 6.

D. 10.

A.\(q = 2.\)

B.\(q = 8.\)

C.\(q = 4.\)

D.\(q = 2\sqrt 2 .\)

A.\(\mathbb{R}\backslash \left\{ {0;1} \right\}.\)

B.\(\left( {0;1} \right).\)

C.\(\mathbb{R}\backslash \left\{ 0 \right\}.\)

D. \(\left( { - \infty ;0} \right) \cup \left( {1; + \infty } \right).\)

A.\(y = \frac{x}{2}.\)

B.\(y = {x^3} + 3x.\)

C.\(y = \frac{1}{x}.\)

D.\(y = \frac{{{x^2} - 2x}}{{x - 1}}.\)

A.\(\frac{{{a^3}}}{6}.\)

B.\(\sqrt 2 {a^3}.\)

C.\(\frac{{{a^3}}}{3}.\)

D.\({a^3}.\)

A.\(\left[ {\frac{5}{6};\frac{3}{2}} \right].\)

B. \(\left( { - \infty ;\frac{5}{6}} \right].\)

C.\(\left[ {\frac{5}{6}; + \infty } \right).\)

D. \(\left( { - \infty ;\frac{3}{2}} \right].\)

A.\(P = 4.\)

B.\(P = 1.\)

C.\(P = 3.\)

D. \(P = 2.\)

A.\(y = {x^3} - 3{x^2} + 1.\)

B.\(y = {x^3} - 3{x^2}.\)

C.\(y = - {x^3} + 3{x^2} + 1.\)

D. \(y = {x^3} + 3{x^2} + 1.\)

A.\({x_1} + {x_2} = 2020.\)

B.\({x_1} + {x_2} = - 2020.\)

C. \({x_1} + {x_2} = - {2021^3}.\)

D. \({x_1} + {x_2} = - {3^{2021}}.\)

A. 3.

B. 4.

C. 6.

D. 5.

A. 9.

B. 1.

C. 4.

D. 16.

A. \(y = \sin x.\)

B.\(y = {x^3} - 2{x^2} + 1.\)

C.\(y = \frac{{x - 1}}{{3x}}.\)

D. \(y = 2{x^4} + {x^2} - 3.\)

A. \(x = 1;x = 2;x = 3.\)

B.\(x = - \frac{{11}}{4}.\)

C. \(x = - \frac{{11}}{4};x = 2.\)

D. \(x = 2 \pm \frac{{\sqrt 2 }}{2}.\)