Write the complex number in polar form. Express the argument ? in degrees, with 0 ? ? ? 360°.4
- 4i
A. 8(cos 30° + i sin 30°)
B. 8(cos 150° + i sin 150°)
C. 8(cos(-60°) + i sin(-60°))
D. 8(cos(330°) + i sin(330°))
Answer: D
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Solve the differential equation.x
= 
- 4y, x > 0
A. y = x4(cos x + C), x > 0 B. y = x-4(sin x + C), x > 0 C. y = x4(sin x + C), x > 0 D. y = x-4(cos x + C), x > 0
Solve the problem.Under a certain apportionment method State X receives 41 seats and State Y receives 29 seats. Ten years later, the population of State X has increased by 5%, while the population of State Y remains unchanged. Under the same apportionment method, State X now receives 40 seats and State Y receives 30 seats. This is called
A. the population paradox. B. a violation of the quota rule. C. the new states paradox. D. the Alabama paradox. E. none of these
Find the equivalent series circuit for a parallel circuit with R = 10 Kê, XC = 20 Kê, XL = 40 Kê, and f = 35 KHz.
a. R = 10 Kê, L = 36 mH b. R = 17.6 Kê, L = 30 mH c. R = 9.4 Kê, L = 10.7 mH d. R = 3.8 Kê, L = 14.9 mH e. R = 10.4 Kê, L = 32.2 mH
Solve the problem.
Number of Years of UseFind the rate of change. Use appropriate units.
A. -$3000 per year B. $3000 per year C. $4000 per year D. -$4000 per year