Raheem Exam Paper

Raheem Adewale Onifade
Assignment Fall2013Set1 due 10/28/2013 at 05:00am EET

math100

4. (1 pt)

1. (1 pt) Match the statements defined below with the letters labeling their equivalent intervals.
You must get all of the answers correct to receive credit.

The expression

1−3
2 4
2+3
5 7

is a fraction

a b where b is positive, and a

and b have no common factors.
1.
2.
3.
4.
5.

x ∈ [2, 7] x ∈ (2, 7) x ∈ [2, 7) x ∈ (−∞, 2) x ∈ [2, ∞)

A.
B.
C.
D.
E.

2≤x 3.
Answer(s) submitted:
• 2/3
• 10/3

(correct)
18. (1 pt)
The equation
|2x − 7| = |9x + 9| has two solutions. Enter the smaller here and the larger here
Hint: Remember that there are two possibilities for each of the absolute values
(correct)
28. (1 pt) Evaluate the expression (5 + 3i) + (4 + 2i) and write the result in the form a + bi.

23. (1 pt) The solution of the linear inequality 13 − x ≥ 1
,
]. is (
If your answer is −∞, enter -infinity; if your answer is ∞, enter infinity.

The sum is

Answer(s) submitted:

Answer(s) submitted:

• 9+5i

• -INFINITY
•
(correct)
8
34. (1 pt) Find all solutions of the equation t + 4 + = 0 and t express them in the form a + bi:

Answer(s) submitted:
• 5
• -4
• -2
• 3
• -5
• -6

First input the solution with b < 0 here: the real number a equals and the real number b equals Then input the solution with b > 0 here: and the real number b the real number a equals equals (correct)
32. (1 pt) Solve the following equations for z, find all solutions :
(1) 2z2 + z + 2 = 0
Place all answers in the following blank, separated by commas:

Answer(s) submitted:
•
•
•
•

(2) z2 − (3 − 2i)z + 1 − 3i = 0
Place all answers in the following blank,separated by commas:

-2
-2
-2
2

(correct)

(3) z2 − 2z + i = 0
Place all answers in the following blank, separated by commas:

35.
√ (1 pt) The perimeter of a rectangle is 16, and its diagonal is 40. Find its dimensions and area.
Longer side:
Shorter side:
Area:

Answer(s) submitted:
• -(1/4)-((15ˆ(1/2))i/4),-(1/4)+((15ˆ(1/2))i/4)
• 2-i,1-i
• 1+(1-i)ˆ(1/2), 1-(1-i)ˆ(1/2)

(correct)

Answer(s) submitted:

4x2 + 20x + 1

33. (1 pt) The equation
A and B where A < B and A