please check attachment
Progress Test 3 (Evaluation 59) covers the course materials that were assigned in Units 5 and 6. Although the progress test is similar in style to the unit evaluations, the progress test is a closed-book, proctored test. You may not have access to notes or any of the course materials while you are taking the test. You may use your graphing calculator on this test.
____ 1.
Find the value of a for this series: a.
b.c.d. 3
Letz1 =2+3iandz2 =1–i.Find . a. –2–3i
b.
c. 2–3i d. –2+3i
Letz1 =2+3iandz2 =1–i.Find|z2 |.
–1–i
1+i
–1+i
d.
Use a geometric series to find the rational number represented by the decimal . What does the rational number equal?
a. b.
c. d.
____ 2.
____ 3.
____ 4.
____ 5.a.
Use this system to find the determinant: .
____ 6.
____ 7.
____ 8.
____ 9.
____ 10.
b. c. d.
The sum of three numbers is 84. If the first is three times the second, and the third is twenty-one more than the first. Which algebraic equation would best represent the sum of the three integers?
x+2y+z+21=84
y+2y+3y=84
3y+y+3y+21=84
x+2y+2z+21=84
Use the elimination method to find the solution for y:
a. 3 b. 2 c. 1 d. 0
Find the common difference in the arithmetic sequence: 1, 7, 13, 19, 25, 31, …
6
−6
5
13
What are the roots of f(x) = x3 + 25x?
–25i, 1, –1
0,5,–5
–25, i, –i
0, 5i, –5i
Find the solution set of this equation:
1
2
2, -1
-2, 1
____ 11.
Given: logb2 = .4, logb3 = .6, logb5 = .7. Use properties of logarithms to find the following value: logb0.6 =
–0.1
1.0
–.06
–.76
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