Đề số 24

$y^{\text{'}}=\frac{1}{20}{e}^{4x}$.

$y^{\text{'}}=-\frac{4}{5}{e}^{4x}$.

$y^{\text{'}}=\frac{4}{5}{e}^{4x}$.

$y^{\text{'}}=-\frac{1}{20}{e}^{4x}\mathit{.}$

$a^{\frac{7}{3}}\mathit{.}$

$a^{\frac{5}{6}}\mathit{.}$

$a^{\frac{11}{6}}\mathit{.}$

$a^{\frac{10}{3}}\mathit{.}$

0

3

2

1

$S=\left\{-\frac{2}{3};\frac{2}{3}\right\}.$

$S=\left\{-\frac{3}{2};\frac{3}{2}\right\}.$

$S=\left\{\frac{2}{3}\right\}.$

$S=\left\{\frac{3}{2}\right\}.$

$F\left(x\right)=x^2+x$.

$F\left(x\right)=x^2+1.$

$F\left(x\right)=x^2+1.$

$F\left(x\right)=x^2+1.$

$\int f\left(x\right)\text{d}x=\frac{x^2}{2}+\cos 2x+C\mathit{.}$

$\int f\left(x\right)\text{d}x=\frac{x^2}{2}+\frac{1}{2}\cos 2x+C\mathit{.}$

$\int f\left(x\right)\text{d}x=x^2+\frac{1}{2}\cos 2x+C\mathit{.}$

$\int f\left(x\right)\text{d}x=\frac{x^2}{2}-\frac{1}{2}\cos 2x+C\mathit{.}$

-30.

0.

70.

30.

$-\frac{1}{3}.$

$\frac{1}{3}.$

$-\frac{2}{3}.$

$\frac{2}{3}.$

6

-6i

5

-6

Phần thực bằng 3; phần ảo bằng -5.

Phần thực bằng 5; phần ảo bằng 5.

Phần thực bằng 3; phần ảo bằng 1.

Phần thực bằng 3; phần ảo bằng 1.

z = 2i

z =0

z = 2

z = 2 + 2i

$\frac{4}{3}{a}^3$

$\frac{16}{3}{a}^3$

$4a^3$

$\mathit{16}{a}^3$

$\frac{a^3\sqrt{6}}{12}.$

$\frac{a^3\sqrt{6}}{4}.$

$\frac{a^3\sqrt{3}}{12}.$

$\frac{a^3\sqrt{3}}{4}.$

$2\pi a^3\mathit{.}$

$12\pi a^3\mathit{.}$

$\mathit{6}\pi a^3\mathit{.}$

$\mathit{4}\pi a^3\mathit{.}$

$48\pi a^3\mathit{.}$

$18\pi a^3\mathit{.}$

$36\pi a^3\mathit{.}$

$\mathit{12}\pi a^3\mathit{.}$

(1;2;3).

(-1;-2;3).

(3;5;1).

(3;4;1).

I(1;2;-3), R=2.

I(-1;-2;3); R=2.

I(1;2;-3), R=4.

I(-1;-2;3), R=4.

4x - 5y - 4 = 0.

4x - 5z - 4 = 0.

4x - 5y + 4 = 0.

4x - 5z + 4 = 0.

$\overrightarrow{u_2}=\left(1;3;-1\right)$

$\overrightarrow{u_2}=\left(0;3;-1\right)$

$\overrightarrow{u_4}=\left(1;2;5\right)$

$\overrightarrow{u_3}=\left(1;-3;-1\right)$

$\frac{1}{4}.$

$\frac{1}{2}.$

$\frac{3}{4}.$

$\frac{1}{3}.$

$\left(-\infty ;\frac{1}{2}\right)$

$\left(0;+\infty \right)$

$\left(-\infty ;0\right)$

$\left(\frac{1}{2};+\infty \right)$

M + 2m = -1

M + 2m = 39

M + 2m = -41

M + 2m = -40

$\left(-2;+\infty \right).$

$\left(-\infty ;-2\right).$

$\left(-\infty ;2\right).$

$\left(2;+\infty \right)$.

1

-3

3

-1

2

1

$\sqrt{2}$

$\sqrt{10}$

$\cot \phi =2$

$\cot \phi =\frac{1}{2}$

$\cot \phi =2\sqrt{2}$

$\cot \phi =\frac{\sqrt{2}}{4}$

Độ dài đoạn AC.

Độ dài đoạn AB.

Độ dài đoạn AH trong đó H là hình chiếu vuông góc của A trên SB.

Độ dài đoạn AM trong đó M là trung điểm của SC.

${\left(x-2\right)}^2+{\left(y-2\right)}^2+{\left(z-2\right)}^2=2$

${\left(x-2\right)}^2+{\left(y-2\right)}^2+{\left(z-2\right)}^2=4$

$x^2+y^2+z^2=2$

${\left(x-1\right)}^2+y^2+{\left(z-1\right)}^2=4$

$\frac{x+1}{-2}=\frac{y-3}{-2}=\frac{z-2}{-4}$

$\frac{x+1}{2}=\frac{y-3}{-4}=\frac{z-2}{1}$

$\frac{x-2}{-1}=\frac{y+4}{3}=\frac{z-1}{2}$

$\frac{x-1}{2}=\frac{y+3}{-4}=\frac{z+2}{1}$

210

-195

105

300

2017

2016

2014

2015

2

-2

10

6

$S=\sqrt{3}.$

$S=\frac{\sqrt{3}}{6}.$

$S=\frac{2\sqrt{3}}{3}.$

$S=\frac{\sqrt{3}}{3}.$

$\frac{a^3}{\sqrt{3}}$

$\frac{a^3}{3\sqrt{3}}$

$\sqrt{3}{a}^3$

$3\sqrt{3}{a}^3$

33750000 đồng.

12750000 đồng.

6750000 đồng.

3750000 đồng.

$\left\{\begin{array}{l}x=1-t\\ y=2-t\\ z=2\end{array}\right.$

$\left\{\begin{array}{l}x=1-t\\ y=2-t\\ z=3-t\end{array}\right.$

$\left\{\begin{array}{l}x=1+t\\ y=2-t\\ z=3\end{array}\right.$

$\left\{\begin{array}{l}x=1-t\\ y=2+t\\ z=3\end{array}\right.$

9

11

8

7

4

5

2

3

f(-2) < f(-1) < f(2) < f(6)

$f\left(2\right)<f\left(-2\right)<f\left(-1\right)<f\left(6\right)$

$f\left(-2\right)<f\left(2\right)<f\left(-1\right)<f\left(6\right)$

$f\left(6\right)<f\left(2\right)<f\left(-2\right)<f\left(-1\right)$

$m=\sqrt{2}-1$

$m=2\sqrt{2}$

m = 2

$m=2\sqrt{2}-2$

(1;1;3)

$\left(\frac{5}{3};\frac{7}{3};\frac{7}{3}\right)$

$\left(\frac{1}{3};-\frac{1}{3};-\frac{1}{3}\right)$

(1;-2;1)