A. \({x^2} + 6x + C\)
B. \(2{x^2} + C\)
C. \(2{x^2} + 6x + C\)
D. \({x^2} + C\)
A. \(\overrightarrow {{n_1}} = \left( {2; - 1; - 3} \right)\)
B. \(\overrightarrow {{n_4}} = \left( {2;1;4} \right)\)
C. \(\overrightarrow {{n_2}} = \left( {2; - 1;3} \right)\)
D. \(\overrightarrow {{n_3}} = \left( {2;3;1} \right)\)
A. \(\pi {r^2}h\)
B. \(2\pi {r^2}h\)
C. \(\frac{1}{3}\pi {r^2}h\)
D. \(\frac{4}{3}\pi {r^2}h\)
A. \(\frac{1}{3}{\log _5}a\)
B. \(\frac{1}{3} + {\log _5}a\)
C. \(3 + {\log _5}a\)
D. \(3{\log _5}a\)
A. (3;0;0)
B. (3; - 1;0)
C. (0;0;1)
D. (0;- 1;0)
A. - 7
B. 7
C. - 1
D. 1
A. \(\overrightarrow {{u_1}} = \left( {2;5;3} \right)\)
B. \(\overrightarrow {{u_4}} = \left( {2; - 5;3} \right)\)
C. \(\overrightarrow {{u_2}} = \left( {1;3;2} \right)\)
D. \(\overrightarrow {{u_3}} = \left( {1;3; - 2} \right)\)
A. \(y = - {x^4} + 2{x^1} + 1\)
B. \(y = - {x^3} + 3x + 1\)
C. \(y = {x^3} - 3x + 1\)
D. \(y = {x^4} - 2{x^2} + 1\)
A. 4
B. - 6
C. 10
D. 6
A. 3Bh
B. Bh
C. \(\frac{4}{3}\)Bh
D. \(\frac{1}{3}\)Bh
A. \(\left( {0; + \infty } \right)\)
B. (0;2)
C. (- 2;0)
D. \(\left( { - \infty ; - 2} \right)\)
A. x = 1
B. x = - 2
C. x = 3
D. x = 2
A. 20
B. 4
C. 0
D. - 16
A. 1,7m
B. 1,5m
C. 1,9m
D. 2,4m
A. 2
B. 1
C. 0
D. 3
A. 36
B. 8
C. 28
D. 18
A. \(\frac{{\sqrt 3 {a^3}}}{3}\)
B. \(\frac{{\sqrt 3 {a^3}}}{6}\)
C. \(\sqrt 3 {a^3}\)
D. \(\frac{{\sqrt 3 {a^3}}}{2}\)
A. 3
B. 9
C. \(\sqrt {15} \)
D. \(\sqrt {7} \)
A. 5
B. 2
C. 32
D. 4
A. \(\left( {2x - 3} \right){.3^{{x^2} - 3x}}\)
B. \({3^{{x^2} - 3x}}.\ln 3\)
C. \(\left( {{x^2} - 3x} \right){.3^{{x^2} - 3x - 1}}\)
D. \(\left( {2x - 3} \right){.3^{{x^2} - 3x}}.\ln 3\)
A. \(2x + y + z - 4 = 0\)
B. \(2x - y + z - 2 = 0\)
C. \(x + y + z - 3 = 0\)
D. \(2x - y + z + 2 = 0\)
A. (3; - 3)
B. (2;- 3)
C. (- 3;3)
D. (- 3;2)
A. \(S = \int\limits_{ - 1}^1 {f\left( x \right)dx} + \int\limits_1^5 {f\left( x \right)dx} \)
B. \(S = \int\limits_{ - 1}^1 {f\left( x \right)dx} - \int\limits_1^5 {f\left( x \right)dx} \)
C. \(S = - \int\limits_{ - 1}^1 {f\left( x \right)dx} + \int\limits_1^5 {f\left( x \right)dx} \)
D. \(S = - \int\limits_{ - 1}^1 {f\left( x \right)dx} - \int\limits_1^5 {f\left( x \right)dx} \)
A. 900
B. 300
C. 600
D. 450
A. \(\sqrt 5 \)
B. 5
C. \(\sqrt 3 \)
D. 3
A.
\(\left\{ {\begin{array}{*{20}{c}}
{x = 1 - t\,\,\,}\\
{y = 4t\,\,\,\,\,\,\,}\\
{z = 2 + 2t}
\end{array}} \right.\)
B.
\(\left\{ {\begin{array}{*{20}{c}}
{x = 1 + t\,\,\,}\\
{y = 4\,\,\,\,\,\,\,\,\,}\\
{z = 2 + 2t}
\end{array}} \right.\)
C.
\(\left\{ {\begin{array}{*{20}{c}}
{x = 2 + t\,\,\,}\\
{y = 4 + 4t}\\
{z = 4 + 2t}
\end{array}} \right.\)
D.
\(\left\{ {\begin{array}{*{20}{c}}
{x = 1 - t\,\,\,}\\
{y = 2 - 4t}\\
{z = 2 - 2t}
\end{array}} \right.\)
A. \(\frac{{{\pi ^2} + 2}}{8}\)
B. \(\frac{{{\pi ^2} + 8\pi + 8}}{8}\)
C. \(\frac{{{\pi ^2} + 8\pi + 2}}{8}\)
D. \(\frac{{{\pi ^2} + 6\pi + 8}}{8}\)
A. \(3\ln \left( {x - 1} \right) - \frac{2}{{x - 1}} + C\)
B. \(3\ln \left( {x - 1} \right) + \frac{1}{{x - 1}} + C\)
C. \(3\ln \left( {x - 1} \right) - \frac{1}{{x - 1}} + C\)
D. \(3\ln \left( {x - 1} \right) + \frac{2}{{x - 1}} + C\)
A. (2;3)
B. (0;2)
C. (3;5)
D. \(\left( {5; + \infty } \right)\)
A. \(24\sqrt 2 \pi \)
B. \(8\sqrt 2 \pi \)
C. \(12\sqrt 2 \pi \)
D. \(16\sqrt 2 \pi \)
A. 6
B. 5
C. Vô số
D. 7
A. \(m \le f\left( 2 \right) - 2\)
B. \(m < f\left( 2 \right) - 2\)
C. \(m \le f\left( 0 \right)\)
D. \(m < f\left( 0 \right)\)
A. \(\frac{{\sqrt {21} a}}{{28}}\)
B. \(\frac{{\sqrt {21} a}}{{14}}\)
C. \(\frac{{\sqrt 2 a}}{2}\)
D. \(\frac{{\sqrt {21} a}}{7}\)
A. \(\frac{{13}}{{27}}\)
B. \(\frac{{14}}{{27}}\)
C. \(\frac{1}{2}\)
D. \(\frac{{365}}{{729}}\)
A. 6
B. 10
C. 12
D. 3
A. 15
B. 23
C. \(\frac{{123}}{5}\)
D. - 25
A. \(\left( {\frac{1}{4};\frac{9}{{32}}} \right)\)
B. \(\left( {\frac{3}{{16}};\frac{7}{{32}}} \right)\)
C. \(\left( {0;\frac{3}{{16}}} \right)\)
D. \(\left( {\frac{7}{{32}};\frac{1}{4}} \right)\)
A. \(2\sqrt 3 \)
B. 20
C. 12
D. \(2\sqrt 5 \)
A. P(- 3;0;- 3)
B. Q(0;11;- 3)
C. N(0;3;- 5)
D. M(0;- 3;- 5)
A. 12
B. 4
C. 8
D. 16
A. 79
B. 80
C. Vô số
D. 81
A. \(12\sqrt 3 \)
B. \(16\sqrt 3 \)
C. \(\frac{{28\sqrt 3 }}{3}\)
D. \(\frac{{40\sqrt 3 }}{3}\)
A. \(\left( {3\,;\, + \infty } \right)\)
B. \(\left( { - \infty \,;\,3} \right]\)
C. \(\left( { - \infty \,;\,3} \right)\)
D. \(\left[ {3\,;\, + \infty } \right)\)
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