Quiz about ZAIBAL SABAK

Question 1

$$\lim_{x\rightarrow0}\frac{x^2+3x}{x^2+x}=1$$

Accepted Answer

3

Answer

2

Answer

1

Answer

5

Question 2

$$\lim_{x\rightarrow0}\frac{5x^2-3x+2}{2x^2+4x+1}=?$$

Accepted Answer

2

Answer

5

Answer

3

Answer

6

Question 3

$$\lim_{x\rightarrow0}\frac{2x^2+3x+5}{4x^2+4x+1}=?$$

Accepted Answer

5

Answer

7

Answer

6

Answer

8

Question 4

$$\lim_{x\rightarrow0}\frac{6x^2-13x+2}{3x^2+2x-8}=?$$

Accepted Answer

-1/4

Answer

-1/5

Answer

2

Answer

3

Question 5

$$\lim_{x\rightarrow0}\frac{\sin3x}{x}=?$$

Accepted Answer

3

Answer

1

Answer

5

Answer

6

Question 6

$$\lim_{x\rightarrow0}\frac{\sin x}{5x}=?$$

Accepted Answer

1

Answer

3

Answer

5

Answer

2

Question 7

$$\lim_{x\rightarrow3}\frac{x-3}{x^2-9}=?$$

Accepted Answer

1/6

Answer

1/5

Answer

1/4

Answer

1/8

Question 8

$$\lim_{x\rightarrow\infty}\frac{x+7}{5x-6}=?$$

Accepted Answer

$$\frac{1}{5}$$

Answer

$$\frac{1}{6}$$

Answer

$$\frac{1}{7}$$

Answer

$$\frac{1}{8}$$

Question 9

$$\lim_{x\rightarrow\infty}\frac{x-9}{x+3}=?$$

Accepted Answer

1

Answer

2

Answer

5

Answer

6

Question 10

$$\lim_{x\rightarrow\infty}\left(1+\frac{1}{x}\right)^{\frac{3x}{5}}=?$$

Accepted Answer

$$e^{\frac{3}{5}}$$

Answer

$$e^{\frac{3}{6}}$$

Answer

$$e^{\frac{1}{2}}$$

Answer

$$e^{\frac{3}{9}}$$

Question 11

$$\left(ar\operatorname{ctg}x\right)$$

Accepted Answer

$$-\frac{1}{1+x^2}$$

Answer

$$-\frac{2}{4+x^2}$$

Answer

$$-\frac{1}{2+x^2}$$

Question 12

$$\left(e^x\right)$$

Accepted Answer

$$e^x$$

Answer

0

Answer

$$e^2$$

Answer

e

Question 13

$$\left(7\operatorname{ctg}x\right)$$

Accepted Answer

$$\frac{-7}{\sin^2x}$$

Answer

-7 sin x

Answer

7 sin x

Answer

-7 cos x

Question 14

$$\left(UV\right)$$

Accepted Answer

$$U$$

Answer

$$V$$

Question 15

$$x^m$$

Accepted Answer

$$mx^m-^1$$

Answer

$$mx^m$$

Answer

x

Question 16

$$\left(\frac{1}{x}\right)$$

Accepted Answer

$$-\frac{1}{x^2}$$

Answer

1

Answer

0

Answer

$$\frac{1}{2}$$

Question 17

$$\left(tgx\right)$$

Accepted Answer

$$\frac{1}{\cos^2x}$$

Answer

$$\frac{1}{\sin^2x}$$

Answer

$$\frac{1}{\sin2x}$$

Answer

$$\frac{1}{\cos\ 2x}$$

Question 18

$$\left(\arcsin\ x\right)$$

Accepted Answer

$$-\frac{1}{\sqrt[]{1-x^2}}$$

Answer

$$-\frac{1}{1-x^2}$$

Answer

$$-\frac{1}{\sqrt[3]{1-x^2}}$$

Answer

$$-\frac{1}{\sqrt[]{1-x^{ }}}$$

Question 19

$$\left(x^2+2x+2\right)$$

Accepted Answer

2x+2

Answer

2x

Answer

1

Answer

2x+4

Question 20

$$\left(x^7+5x^6+6x^2\right)$$

Accepted Answer

$$7x^6+30x^5+12x$$

Answer

$$5x+6$$

Answer

0

Answer

$$30x$$

Question 21

$$\left(2\cos x+3\sin x\right)$$

Accepted Answer

-2sinx + 3cos x

Answer

sin + 5cos

Answer

-sin + 5cos

Answer

-5sin+ cos

Question 22

$$\left(2x\cdot e^x\right)$$

Accepted Answer

$$2e^x+2x\cdot e^x$$

Answer

$$e^x$$

Answer

$$2x\cdot e^x$$

Answer

$$2e^x+2x$$

Question 23

$$\left(\frac{x^2}{3}\right)$$

Accepted Answer

$$\frac{2}{3}\cdot x^{-\frac{1}{3}}$$

Answer

$$\frac{2}{3}$$

Answer

0

Answer

1

Question 24

$$\left(\cos2x\right)$$

Accepted Answer

-2sin x

Answer

-sin 2x

Answer

sin 2x

Answer

2sin x

Question 25

$$\left(\ln x+x^2\right)$$

Accepted Answer

$$2x+\frac{1}{x}$$

Answer

1

Answer

2x

Answer

2x+x

Question 26

$$y=6x^2-1\ \ \ \ y"-?$$

Accepted Answer

y"=12

Answer

y"=6

Answer

y"=5

Answer

y"=18

Question 27

$$\left(3\sin x\right)"$$

Accepted Answer

y"=3sinx

Answer

y"=-3cosx

Answer

y"=3cosx

Answer

y"=-3sinx

Question 28

$$y=x^2+2x\ \ \ \ \ \ \ dy=?$$

Accepted Answer

dy'=(2x+2)dx

Answer

dy'=(2x+2)

Answer

dy'=(2x+x)dx

Answer

dy'=(2x+2)dy

Question 29

$$\left(x^3+\sin x\right)$$

Accepted Answer

$$3x^2+\cos x$$

Answer

sin 3x

Answer

cos 3x

Question 30

$$y=\sin x\ \ \ \ \ \ d^2y=?$$

Accepted Answer

$$d^2y=\left(-\sin x\right)dx$$

Answer

$$d^2y=\left(\cos x\right)dx$$

Answer

$$d^2y=\left(\sin x\right)dx$$

Answer

$$d^2y=\left(-\cos x\right)dx$$

Question 31

$$\left(2x^2+4x\right)$$

Accepted Answer

4x+4

Answer

4x

Answer

0

Answer

1

Question 32

$$f\left(x\right)=x^3+1,\ f$$

Accepted Answer

3

Answer

5

Answer

9

Answer

7

Question 33

$$y=\cos x+x^2\ \ \ \ \ \ \ \ dy=?$$

Accepted Answer

-sinx+2x

Answer

sinx-2x

Answer

cosx-2x

Answer

-sinx-2x

Question 34

$$f\left(x\right)=x^3+3,\ \ f$$

Accepted Answer

3

Answer

9

Answer

-3

Answer

-9

Question 35

$$\int_{ }^{ }\frac{x^3+4x^2}{x^2}dx$$

Accepted Answer

$$\frac{x^2}{2}+x^4+C$$

Answer

$$\frac{x^{ }}{2}+x^4+C$$

Question 36

$$\int_{ }^{ }\sin xdx=?$$

Accepted Answer

-cos x+C

Answer

cos x

Answer

-cos x-C

Answer

-cos x

Question 37

Question 37.

Accepted Answer

Option A is correct

Answer

B.

Question 38

Question 38.

Accepted Answer

Option A is correct

Answer

B.

Question 39

$$\int_1^2x^3dx=?$$

Accepted Answer

15/4

Answer

1/4

Answer

13/4

Answer

0

Question 40

$$\int_0^1\sqrt[]{xdx}=?$$

Accepted Answer

2/3

Answer

1

Answer

0

Answer

-1

Question 41

$$\int_0^{\frac{\pi}{4}}\cos2xdx=$$

Accepted Answer

1/2

Answer

1

Answer

2

Answer

sin 2x +C

Question 42

$$\int_{ }^{ }e^{3x}dx=?$$

Accepted Answer

$$\frac{e^{3x}}{3}+C$$

Answer

$$\frac{e}{3}+C$$

Answer

e

Answer

0

Question 43

$$\int_{ }^{ }a^xdx=?$$

Accepted Answer

$$\frac{a^x}{\ln a}+C$$

Answer

$$\frac{a^x}{2}+C$$

Answer

1

Answer

0

Question 44

$$\left(\int_{ }^{ }f\left(x\right)dx\right)$$

Accepted Answer

f(x)

Answer

F(x)+C

Answer

f(x)dx

Answer

f'(x)

Question 45

$$\int_1^e\frac{1}{x}dx=?$$

Accepted Answer

1

Answer

-1

Answer

0

Answer

-e

Question 46

$$\int_1^2\left(x^2+3x\right)dx=?$$

Accepted Answer

41/6

Answer

0

Answer

1/2

Answer

18/36

Question 47

$$\int_1^3\left(x^{ }+3x^2\right)dx=?$$

Accepted Answer

30

Answer

-30

Answer

3

Answer

1

Question 48

$$\int_1^3\left(5x^{ }+x^2\right)dx=?$$

Accepted Answer

28

Answer

46/3

Answer

86/3

Answer

0

Question 49

$$\int_0^2\left(8x^{ }+3x^2\right)dx=?$$

Accepted Answer

24

Answer

0

Answer

1

Answer

2

Question 50

$$\int_2^3x^3dx=?$$

Accepted Answer

65/4

Answer

46/4

Answer

0

Answer

1

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