A. It is known that the population of a community in 1995 was 230,000 people. The population continues to grow at an increasing rate for 5 years. In 2000 the population reached 300,000 people. The population continues to increase but the rate decreases until in 2007 the number reached 350,000 people. After that, the rate continued to decline for 3 years with a population of 320,000. The rate then rises again and the population reaches 280,000 in the long run. Represent this information in graphic form.
A. It is known that the population of a community in 1995 was 230,000 people. The population continues to grow at an increasing rate for 5 years. In 2000 the population reached 300,000 people. The population continues to increase but the rate decreases until in 2007 the number reached 350,000 people. After that, the rate continued to decline for 3 years with a population of 320,000. The rate then rises again and the population reaches 280,000 in the long run.
Represent this information in graphic form.
B. Arteriosclerosis begins in childhood when plaque (a soft mass of fatty material) forms on the walls of arteries, blocking the flow of blood through the arteries. This can lead to heart attacks, strokes, and gangrene. If it is assumed that the aorta is cut in a cross section as shown in the figure, and has a radius of a cm in year t. Plaque thickness is assumed to be h = g(t). The open area is given by A = (a – h)^2 cm^2. What is the rate at which the area is decreasing due to plaque per year if it is known that a = 1 cm, t = 50 years, and
h = g(t) = 1 – 0.01(10,000 – t^2)^1/2 – 0.001t
C. A team of medical researchers determined that t days after the epidemic started N(?) = 10?^3 + 5? +√? people would be infected for 0 t ≤ 20. At what rate did the infected population increase on day 9?
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