What are the possible rational roots of f(x) = 3x⁴ - x³ + x² - x + 5?

Select one:

a. {1, 5}

b. {1/3, 5/3}

c. {1, 1/3, 5, 5/3}

d. {1, 1/5, 3, 3/5}

e. {1, 1/3, 5, 5/3}

Question 2

What is the vertex of f(x) = x² + 4x + 2?

Select one:

a. (2, 2)

b. (- 2, - 2)

c. (- 2, 2)

d. (2, - 2)

e. None of these

Question 3

What is the period of y = 3cos ( 4x + /2) + 5?

Select one:

a. /4

b. /2

c.

d. 2

e. -

Question 4

Solve the system: 2x + 3y = 7, 3x - 5y = 1

Select one:

a. (2, 1)

b. (1, 2)

c. (0, 0)

d. There is no solution

e. None of these

Question 5

What is the vertex of f(x) = x² + 3x + 2?

Select one:

a. 7

b. (0, 2)

c. (-3/2, -1/4)

d. -3/2

e. None of these

Question 6

How much must be invested today at 10%, compounded continuously, to be worth $271,000 in 10 years? Pick the closest answer.[Use e = 2.71]

Select one:

a. $250,000

b. $100,000

c. $10,000

d. $1,000

e. No amount will be enough

Question 7

What is the polar representation of z = 6i?

Select one:

a. 6 cis i

b. 6 cis

c. cis 6

d. 6 cis (/2)

e. 36

Question 8

What is the equation of the line passing through (1, -4) and parallel to y = -x + 1?

Select one:

a. -x + y + 3 = 0

b. x - y + 3 = 0

c. x + y - 3 = 0

d. x + y + 3 = 0

e. None of these

Question 9

On a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or in radian measure).

Select one:

a. (2, -2)

b. (2, 0)

c. (0, -2)

d. (0, 2)

e. (2, 2)

Question 10

Solve for x: (1/2)^x= 16

Select one:

a. -4

b. -2

c. 2

d. 4

e. None of these