(1) The population density of a village in South Africa is 2,000 people/100 mi. Which of the following is equivalent to the population density of this South African village? (2.1) (a) 0.2 people/mi (b) 2 people/mi (c) 2 people/10 mi? (d) 20 people/mi (e) 200 people/mi THIS IS A "SHOW YOUR WORK" PROBLEM. ANSWER THIS PROBLEM AND SHOW YOUR WORK BELOW. (2) The population density of a region in Alaska is 3,000 people/200 mi?. Which of the following is equivalent to the population density of this Alaskan region? (2.1) (a) 3 people/2 mi? (b) 15 people/mi (c) 30 people/20 mi (d) 150 people/100 mi (e) 150 people/ mi? (3) According to the 2010 United States census, the two largest cities in Washington State are Seattle and Spokane. The data shows that 612,000 people lived in Seattle on 83.78 square miles of land. The data also shows that 206,900 people lived in Spokane on 60.22 square miles of land. (2.1) Using the information above, the population density of (a) Seattle is approximately three times that of Spokane. (b) Spokane is approximately 0.7 times that of Seattle. (c) Seattle is approximately 7,304.8 people per square mile. (d) Spokane is approximately 5,705.0 people per square mile.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.