A. \({a^{\dfrac{1}{3}}}\).
B. \({a^{\dfrac{5}{4}}}\).
C. \({a^{\dfrac{3}{4}}}\).
D. \({a^{\dfrac{4}{5}}}\).
A. \(\left( {0;1} \right)\).
B. \(\left( { - 1;0} \right)\).
C. \(\left( {1; + \infty } \right)\).
D. \(\left( { - 1;1} \right)\).
A. \(\dfrac{{\sqrt 3 {a^3}}}{2}\).
B. \(\dfrac{{\sqrt 3 {a^3}}}{3}\).
C. \(\dfrac{{2\sqrt 3 {a^3}}}{3}\).
D. \(\dfrac{{3\sqrt 3 {a^3}}}{2}\).
A. \(6a\).
B. \(a\).
C. \(3a\).
D. \(9a\).
A. \(6\).
B. \(2\).
C. \(8\).
D. \(4\).
A. \(\left( { - 1;3} \right)\).
B. \(\left( { - 3;2} \right)\).
C. \(\left( { - \infty ; - 1} \right)\).
D. \(\left( {3; + \infty } \right)\).
A. \(x = 3\).
B. \(y = 2\).
C. \(x = - 3\).
D. \(y = - 2\).
A. \(\left( {\dfrac{1}{3}; + \infty } \right)\).
B. \(\left( { - \infty ;\dfrac{1}{3}} \right)\).
C. \(\mathbb{R}\).
D. \(\mathbb{R}\backslash \left\{ {\dfrac{1}{3}} \right\}\)
A. \(\left[ {\dfrac{1}{2}; + \infty } \right)\).
B. \(\left( { - \infty ;\dfrac{1}{2}} \right)\).
C. \(\left( {\dfrac{1}{2}; + \infty } \right)\).
D. \(\left( { - \infty ;\dfrac{1}{2}} \right]\)
A. \({a^{\sqrt 7 }}\).
B. \({a^2}\).
C. \({a^{ - \sqrt 7 }}\).
D. \({a^{ - 2}}\).
A. \(\dfrac{{\sqrt 2 {a^3}}}{4}\).
B. \(\dfrac{{3\sqrt 2 {a^3}}}{2}\).
C. \(\dfrac{{3\sqrt 2 {a^3}}}{4}\).
D. \(\dfrac{{\sqrt 2 {a^3}}}{2}\).
A. \( - 1\).
B. \(2\).
C. \(1\).
D. \( - 3\).
A. \(\left( {3; - 1} \right)\).
B. \(\left( { - 1;3} \right)\).
C. \(\left( {4;1} \right)\).
D. \(\left( {1;4} \right)\).
A. \(y = \dfrac{{x - 1}}{{2x - 1}}\).
B. \(y = - {x^3} + 3x - 2\).
C. \(y = {x^4} - 2{x^2} + 1\).
D. \(y = \dfrac{{2x - 1}}{{x - 1}}\).
A. \( - 7\).
B. \(6\).
C. \(5\).
D. \(7\).
A. \(8\).
B. \(6\).
C. \(5\).
D. \(7\).
A. \(y = \dfrac{{x + 2}}{{x - 1}}\).
B. \(y = - {x^3} + 3x + 1\).
C. \(y = - {x^4} + x + 1\).
D. \(y = {x^3} + 3x + 1\).
A. \(\ln x - 1\).
B. \(\ln x + 1\).
C. \(\ln x + x\).
D. \(\ln - x\).
A. \(6 + {\log _5}a\).
B. \(\dfrac{1}{6} + {\log _5}a\).
C. \(\dfrac{1}{6}{\log _5}a\).
D. \(6{\log _5}a\).
A. \(y = \dfrac{{x + 3}}{{3x + 2}}\).
B. \(y = \dfrac{{2x + 1}}{{x - 2}}\).
C. \(y = \dfrac{{3x + 1}}{{2x - 2}}\).
D. \(y = \dfrac{{3x + 2}}{{x + 3}}\).
A. \(2{a^2}\).
B. \(6{a^2}\).
C. \(12{a^2}\).
D. \(4{a^2}\).
A. \(\dfrac{{2\sqrt 6 {a^3}}}{3}\).
B. \(\dfrac{{\sqrt 3 {a^3}}}{3}\).
C. \(\dfrac{{2\sqrt 3 {a^3}}}{3}\).
D. \(\dfrac{{\sqrt 6 {a^3}}}{3}\).
A. \(4\).
B. \(1\).
C. \(0\).
D. \(2\).
A. \(8{a^3}\)
B. \(4{a^3}\).
C. \(6{a^3}\).
D. \(12{a^3}\).
A. \(\dfrac{V}{3}\).
B. \(\dfrac{V}{6}\).
C. \(\dfrac{V}{4}\).
D. \(\dfrac{V}{2}\).
A. \(m > 5\).
B. \(4 \le m \le 5\).
C. \(2 \le m < 4\).
D. \(m < 2\).
A. \(\left( {0;2} \right)\).
B. \(\left( { - \infty ;1} \right)\).
C. \(\left( {1; + \infty } \right)\).
D. \(\left( {1;2} \right)\).
A. \(\dfrac{{2 - (2x + 1)\log 3}}{{{3^{2x}}}}\).
B. \(\dfrac{{2 - (2x + 1)\log 3}}{{{3^x}}}\).
C. \(\dfrac{{2 - (2x + 1)\ln 3}}{{{3^{2x}}}}\).
D. \(\dfrac{{2 - (2x + 1)\ln 3}}{{{3^x}}}\).
A. \(3\).
B. \(1\).
C. \(0\).
D. \(2\).
A. \(8{a^3}\).
B. \(10{a^3}\).
C. \(6{a^3}\).
D. \(4{a^3}\).
A. \(\left( {6x - 2} \right){\left( {3{x^2} - 2x + 1} \right)^{ - {\textstyle{3 \over 4}}}}\).
B. \(\dfrac{{\left( {3x - 1} \right){{\left( {3{x^2} - 2x + 1} \right)}^{ - {\textstyle{3 \over 4}}}}}}{2}\).
C. \(\left( {3x - 1} \right){\left( {3{x^2} - 2x + 1} \right)^{ - {\textstyle{3 \over 4}}}}\).
D. \(\dfrac{{\left( {3x - 1} \right){{\left( {3{x^2} - 2x + 1} \right)}^{ - {\textstyle{3 \over 4}}}}}}{4}\).
A. \(6\).
B. \(7\).
C. \(\dfrac{7}{2}\).
D. \(\dfrac{{13}}{2}\).
A. \(\dfrac{{3\sqrt {10} }}{2}\).
B. \(3\sqrt {10} \).
C. \(\dfrac{{5\sqrt 2 }}{2}\).
D. \(5\sqrt 2 \).
A. \(\left( {3; - 2} \right)\)
B. \(\left( {2;4} \right)\)
C. \(\left( {3;2} \right)\)
D. \(\left( {0;2} \right)\)
A. \(\dfrac{{\sqrt 3 {a^3}}}{{12}}\).
B. \(\dfrac{{\sqrt 3 {a^3}}}{8}\).
C. \(\dfrac{{\sqrt {21} {a^3}}}{{28}}\).
D. \(\dfrac{{\sqrt {21} {a^3}}}{{14}}\).
A. \(9\).
B. \(8\).
C. \(7\).
D. \(10\).
A. \(32\).
B. \(36\).
C. \(24\).
D. \(48\).
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