Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
0.25
Step-by-step explanation:
Answer:
Population management is important due to the fact that humans rely on different types of animals for food that if we populate to much that we could all run out of food because say if there are 30 humans and 5 pigs even if they both multiply there well still not be enough in the long run. Which throws the balance over nature off. So if we keep on populating we are practically killing are selves, population management is essential if you do not want the human race to die out.
Step-by-step explanation:
Answer:
the slope of the line is 2/3x
Step-by-step explanation:
i hope this helps :)
