Answer:
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To find the displacement between t=0 and t=1, we want to plug 0 & 1 into the equations, then find the different in the answers.
<u>When t = 0:</u>
x = 4 cos(π(0)+π/4) → π · 0 = 0, so therefore:
x = 4 cos (π/4) → cos (π/4) = √2/2
x = 4 (√2/2)
x = 4√2/2 → 4 divided by 2 = 2, so we can simplify this to
x = 2√2
<u>When t = 1:</u>
x = 4 cos(π(1)+π/4) → π · 1 = π, so therefore:
x = 4 cos (π + π/4) → π + π/4 = 5π/4, so therefore
x = 4 cos (5π/4) → cosine of 5π/4 = -√2/2
x = 4 · -√2/2
x = -4√2/2 → -4 divided by 2 = -2, so we can simplify this to
x = -2√2
<u>Answer</u>: Then, we find the difference between x(0) and x(1), which is x(1)-x(0) =
-√2/2 - √2/2 = <u>-√2</u>
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Answer:
A. The Birth rate (per 1,000 population) and the birth rate (per 1,000 population)
B. Expected number of children per childbearing woman
C. 50 years
D. The population will decrease
E. Unusually low rate of natural increase and total fertility
Explanation:
A. The two types of data in the table that are used to calculate the rate of natural increase are The Birth rate (per 1,000 population) and the birth rate (per 1,000 population)
B. The total fertility rate is the number of children expected per woman during her childbearing years
C. The doubling time is given by T = 70/(1.4) = 50 years
D. To maintain the current population size, a fertility rate of 2.1% is required, whereby the fertility rate is about 1.8% the population will not be stable or would decrease
E. The population statistic with a total fertility rate below 1.8, a low rate of natural increase, and a low birth rate is not inline with other industrializing economies such as Middle East, with a fertility rate of 3.0.
