A. \(S = \left| {\int\limits_a^b {f\left( x \right)dx} } \right|\)
B. \(S = \int\limits_a^b {\left| {f\left( x \right)} \right|dx} \)
C. \(S = \pi \int\limits_a^b {{f^2}\left( x \right)dx} \)
D. \(S = \int\limits_a^b {f\left( x \right)dx} \)
A. - 1 + 2i
B. 1 - 2i
C. - 1 - 2i
D. 1 + 2i
A. \(V = \int\limits_0^\pi {{{\cos }^2}xdx} \)
B. \(V = \pi \int\limits_0^\pi {\left| {\cos x} \right|dx} \)
C. \(V = \pi \left| {\int\limits_0^\pi {\left( { - \cos x} \right)dx} } \right|\)
D. \(V = \pi \int\limits_0^\pi {{{\cos }^2}xdx} \)
A. - 2x + 5y + 2z - 28 = 0
B. x - 4y - 3z + 28 = 0
C. x - 4y - 3z - 28 = 0
D. - 2x + 5y + 2z + 28 = 0
A. \(3{x^3} - 2{x^2} + 3x + C.\)
B. \({x^3} - {x^2} + C.\)
C. \({x^3} - {x^2} + 3x + C.\)
D. \(6x - 2 + C.\)
A. \(\int\limits_a^b {\left[ {f\left( x \right) - g\left( x \right)} \right]dx} .\)
B. \(\int\limits_a^b {\left| {f\left( x \right) - g\left( x \right)} \right|dx} .\)
C. \(\left| {\int\limits_a^b {\left[ {f\left( x \right) - g\left( x \right)} \right]dx} .} \right|\)
D. \(\int\limits_a^b {\left| {f\left( x \right)} \right|dx - \int\limits_a^b {\left| {g\left( x \right)} \right|dx} .} .\)
A. P = 4
B. P = 3
C. P = 10
D. P = 2
A. \(A'\left( {2;0;5} \right)\)
B. \(A'\left( {0;3;5} \right)\)
C. \(A'\left( {0;3;0} \right)\)
D. \(A'\left( {2;0;0} \right)\)
A. \(\frac{{x - 1}}{2} = \frac{{y - 2}}{{ - 1}} = \frac{{z - 3}}{{ - 2}}\)
B. \(\frac{{x + 2}}{1} = \frac{{y - 1}}{2} = \frac{{z - 2}}{3}.\)
C. \(\frac{{x - 2}}{1} = \frac{{y + 1}}{2} = \frac{{z + 2}}{3}.\)
D. \(\frac{{x + 1}}{2} = \frac{{y + 2}}{{ - 1}} = \frac{{z + 3}}{{ - 2}}\)
A. 1 - 15i
B. - 15 + i
C. - 15 - i
D. - 1 - 15i
A. \(\overrightarrow n = \left( { - 5;1; - 2} \right)\)
B. \(\overrightarrow n = \left( { - \frac{1}{5}; - 1; - \frac{1}{2}} \right)\)
C. \(\overrightarrow n = \left( {2; - 10;5} \right)\)
D. \(\overrightarrow n = \left( { - 2; - 10;20} \right)\)
A. 4
B. 5
C. 3
D. 0
A. \(\overline z = 8 - 2i.\)
B. \(\overline z = 21 - 2i.\)
C. \(\overline z = 21 + 2i.\)
D. \(\overline z = 8 + 2i.\)
A. \(\overrightarrow {OM} = - 3\overrightarrow i - 4\overrightarrow j + 12\overrightarrow k \)
B. \(\overrightarrow {OM} = - 3\overrightarrow i + 4\overrightarrow j - 12\overrightarrow k \)
C. \(\overrightarrow {OM} = 3\overrightarrow i + 4\overrightarrow j + 12\overrightarrow k \)
D. \(\overrightarrow {OM} = 3\overrightarrow i - 4\overrightarrow j + 12\overrightarrow k \)
A. \(\frac{{x + 1}}{3} = \frac{{y + 1}}{1} = \frac{{z + 3}}{2}\)
B. \(\frac{{x - 3}}{1} = \frac{{y - 1}}{1} = \frac{{z - 2}}{3}\)
C. \(\frac{{x + 3}}{1} = \frac{{y + 1}}{1} = \frac{{z + 2}}{3}\)
D. \(\frac{{x - 1}}{3} = \frac{{y - 1}}{1} = \frac{{z - 3}}{2}\)
A. \(\frac{1}{2}{e^{ - 2x + 1}} + C.\)
B. \( - \frac{1}{2}{e^{ - 2x + 1}} + C.\)
C. \({e^{ - 2x + 1}} + C.\)
D. \( - 2{e^{ - 2x + 1}} + C.\)
A. \(\left| z \right| = 17.\)
B. \(\left| z \right| = \sqrt {15} .\)
C. \(\left| z \right| = 3.\)
D. \(\left| z \right| = \sqrt {17} .\)
A. 3
B. -12
C. -3
D. 12
A. \(I = \int\limits_1^e {\left( {2t + 3} \right)dt} .\)
B. \(I = \int\limits_0^1 {\left( {2t} \right)dt} .\)
C. \(I = \int\limits_0^1 {\left( {2t + 3} \right)dt} .\)
D. \(I = \int\limits_0^1 {\left( {2\ln t + 3} \right)dt} .\)
A. 33
B. 26
C. 17
D. 6
A. \(T = 2\sqrt 5 \)
B. T = 4
C. T = 10
D. T = 7
A. T = 156
B. T = 62
C. T = 159
D. T = 167
A. \({\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 1} \right)^2} = 81\)
B. \({\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 1} \right)^2} = 25\)
C. \({\left( {x - 1} \right)^2} + {\left( {y - 2} \right)^2} + {\left( {z - 1} \right)^2} = 5\)
D. \({\left( {x + 1} \right)^2} + {\left( {y + 2} \right)^2} + {\left( {z + 1} \right)^2} = 9\)
A. \({\left( {x - 3} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z + 5} \right)^2} = \frac{{361}}{{49}}\)
B. \({\left( {x - 3} \right)^2} + {\left( {y - 4} \right)^2} + {\left( {z + 5} \right)^2} = 49\)
C. \({\left( {x + 3} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 5} \right)^2} = 49\)
D. \({\left( {x + 3} \right)^2} + {\left( {y + 4} \right)^2} + {\left( {z - 5} \right)^2} = \frac{{361}}{{49}}\)
A. k = - 5.
B. \(k = \frac{1}{5}\)
C. k = 5.
D. \(k = - \frac{1}{5}\)
A. \(S = \frac{{81}}{{12}}\)
B. S = 13
C. \(S = \frac{9}{4}\)
D. \(S = \frac{{37}}{{12}}\)
A. \(\frac{{49}}{3}\)
B. 18
C. \(\frac{{65}}{3}\)
D. 36
A. - y + z - 4 = 0
B. y - z - 1 = 0
C. y + z - 4 = 0
D. 3x - 3z - 4 = 0
A. \(k = \frac{{66}}{{49}}\)
B. \(k = \frac{{36}}{{29}}\)
C. \(k = \frac{{74}}{{49}}\)
D. \(k = \frac{{12}}{7}\)
A. P = 5
B. P = -1
C. P = 6
D. P = 3
A. \(F\left( x \right) = \tan x - 1\)
B. \(F\left( x \right) = \tan x - x + \frac{\pi }{4} - 1\)
C. \(F\left( x \right) = \tan x + x + \frac{\pi }{4} - 1\)
D. \(F\left( x \right) = 2\frac{{\tan x}}{{{{\cos }^2}x}} - 4\)
A. \(\frac{x}{1} = \frac{{y - 2}}{2} = \frac{{z - 3}}{1}\)
B. \(\frac{{x + 1}}{2} = \frac{y}{4} = \frac{{z + 2}}{{ - 2}}\)
C. \(\frac{{x + 1}}{{ - 2}} = \frac{y}{{ - 4}} = \frac{{z + 2}}{{ - 2}}\)
D. \(\frac{{x - 1}}{2} = \frac{{y - 4}}{2} = \frac{{z - 4}}{2}\)
A. \(\frac{{x + 2}}{{ - 1}} = \frac{{y + 1}}{2} = \frac{{z - 1}}{{ - 1}}\)
B. \(\frac{x}{1} = \frac{{y - 5}}{{ - 2}} = \frac{{z + 3}}{1}\)
C. \(\frac{{x - 2}}{1} = \frac{{y - 1}}{{ - 1}} = \frac{{z + 1}}{2}\)
D. \(\frac{{x + 1}}{2} = \frac{{y - 2}}{1} = \frac{{z + 1}}{{ - 1}}\)
A. \(S = 2\sqrt {61} \)
B. \(S = \frac{{\sqrt {61} }}{2}\)
C. \(S = \frac{{\sqrt {61} }}{3}\)
D. \(S = \sqrt {61} \)
A. \(V = \frac{\pi }{6}\left( {3{\pi ^2} + 4\pi - 8} \right)\)
B. \(V = \frac{\pi }{{16}}\left( {3{\pi ^2} - 4\pi - 8} \right)\)
C. \(V = \frac{\pi }{8}\left( {3{\pi ^2} + 4\pi - 8} \right)\)
D. \(V = \frac{1}{{16}}\left( {3{\pi ^2} - 4\pi - 8} \right)\)
A. \(\overline z = - 2 - 10i\)
B. \(\overline z = - 1 + 5i\)
C. \(\overline z = - 2 + 10i\)
D. \(\overline z = - 1 - 5i\)
A. I = 19
B. I = 38
C. \(I = \frac{{670}}{3}\)
D. \(I = \frac{{38}}{3}\)
A. \(OM = \sqrt {35} \)
B. \(OM = 2\sqrt {35} \)
C. \(OM = \frac{{\sqrt {14} }}{2}\)
D. \(OM = \sqrt 5 \)
A. \(S = \pi \int\limits_0^4 {{3^{2x}}dx} \)
B. \(S = \int\limits_0^4 {\left( { - {3^x}} \right)dx} \)
C. \(S = \int\limits_0^4 {{3^x}dx} \)
D. \(S = \pi \int\limits_0^4 {{3^x}dx} \)
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