productivity in that quarter).

**A. 51 B . 54 C. 17 D. 18**

**Question 8: Function**

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**A.D ** R _

y log x

whose domain is:

**B.**

3

D R 0

C . D 0; D. D ;0

**Question 9: Give the equation: log**

x log 2 5 . Choose the correct answer:

2 *x *2* *

**A. There are two solutions of opposite sign. B. There are 2 negative solutions.**

**C. Invalid. D . There are two positive solutions.**

**Question 10: Number of solutions of the log equation**

x 5 log ( x 2 25) 1 is ?

2 x 5 2

**A. 3 B . 1 C. 0 D. 2**

**Question 11: Maximum value of the function**

y __ln ____x__

x

above

1; e 2 is:

**A. 0 B. 2**

e 2

**C. 0 D. 1**

e

**Question 12: Function**

y 5 x

whose domain is:

**A. D R **

** 5 **

**B**** . **D R

C. D ;5

D. D 5;

**Question 13: Derivative of a function**

y l o g x

To be:

**A. 1**

**B. 1**

C. *x* D. ln10

x ln10 x ln10 x

**Question 14:** The log equation 2 (3 *x * 8) 4 has the solution:

__A.__ _ 8 B. 9 C. 7 D. 6

**Question 15: Second derivative of a function**

y e 2 *x * 1

at x = 1 is:

__A.__ _ 4 *e* B. 3 *e* C. *e* D. 2 *e*

**Question 16:** Let log a *x * 2, log b *x * 3, log c *x * 4 .

5

abc

Calculate the value of the expression: log 2 *x*

A. 12 13

**B. 1 9**

**C. 6 13**

D. 24

7

1 x 1

7

**Question 17: Which of the following numbers is the solution of the inequality **

49 :

2

**A. 1 B.**

8

**C. 10**

3

**D. 1 4**

**Question 18:** The solution of equation 5 3 x 6 1 is:

**A. 3 B. 4 C . 2 D. 1**

2

1 4x 15x 13

**Question 19: Solution set of inequality **

2

2 3x 4

To be:

**A. S B .**

S

3

**C. S D.**

S 3 ;

2

2

**Question 20: Maximum value of the function**

y x 2 . e 2 equals:

**A. 4**

e

**B. 2**

**CD 4**

e

4 *e *2

e

**Question 21: Solution set of inequalities**

2 log 3 4 *x * 3 log 1 2 *x * 3 2 is

3

A. 3 ;3

B. 3 ;

C. 3 ;3

D. 3 ;

4

4

4

4

**Question 22: Which function below is inverse on its domain?**

3

**A. y = log x B . y = log e x **

**C. y = log 2 x D. y = log x**

**Question 23: Which function below is uniform in its domain?**

3

x

A. y = 2 __ __

B. y = e __ __

x

**C**** . **y = 2 x

D. y = 0.5 x

**Question 24: Sum of the solutions of the equation:**

4 x 1 16 x 2 is:

A. 60 121

B. 13 24

**C. 1 2**

D. 51 100

**Question 25: Function**

y x 2

whose domain is:

A. D ;0

**B.D ** R _

**DIE**

D 0;

__D__ . *D * R ** 0 **** **