Solve the problem.If the impedance of a resistor in a current is Z1 = (8 + 5i) ohms and the impedance of a second resistor is Z2 = (6 - 9i) ohms, find the total impedance of the two resistors when they are placed in a series (the sum of the two impedances).
??Series Circuit
A. (14 - 4i) ohms
B. (-14 + 4i) ohms
C. (14 + 4i) ohms
D. (-2 + 14i) ohms
Answer: A
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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. f
= 
, local minimum
B. f(45, 45) = 1,275,750, local maximum
C. 
saddle point
D. f
= 
, local minimum
Solve the problem.A person with no more than $1000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3 times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let 
to be invested in telecommunications and 
to be invested in pharmaceuticals.
A. x + y = 1000 x ? 3y x ? 0 y ? 0 B. x + y = 1000 y ? 3x x ? 0 y ? 0 C. x + y ? 1000 x ? 3y x ? 0 y ? 0 D. x + y ? 1000 3x ? y x ? 0 y ? 0
Solve the problem.One fifth of Joe's earned income is deducted for withholdings. One third of the withholdings are for social security (FICA). What fraction of Joe's earned income is deducted for social security?
A. 
B. 
C. 
D. 
Given the sets A = {1, 2, 3}, B = {0, 1, 2, 3, ...}, and C = {0, 1, 2}, tell which of the following statements are true and which are false.
 figure 1.png)
a. a. False b. True c. False d. True
b. a. False b. False c. False d. False
c. a. True b. True c. True d. True
d. a. True b. False c. True d. False