Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula 
Solve the problem using this formula.Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (2 + 3i) ohms.
A. (-18 + 56i) volts
B. (-18 - 56i) volts
C. (33 + 56i) volts
D. (33 - 56i) volts
Answer: C
Mathematics
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Evaluate the integral by first performing long division on the integrand and then writing the proper fraction as a sum of partial fractions.
A. 2x2 + ln 
- x ln 
+ C
B. 2x2 + ln 
+ 
ln 
+ C
C. 2x2 - 
ln 
+ C
D. 2x2 + ln 
- 
ln 
+ C
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Solve the inequality. Express your answer using interval notation. Graph the solution set.|8k + 1| ? 2
A. [
, ?)
B. [- 
, 
]
C. (-?, - 
] ? [
, ?)
D. (- 
, 
)
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Solve the equation for solutions in the interval [0, 2?).(3 cot x + 3
)(7 cot x - 7) = 0
A. 
B. 
C. 
D. 
Mathematics
Simplify the complex rational expression using Method I or Method II.
A. -1
B. 
C. 0
D. -6
Mathematics