Suppose that from 2020 to 2060, the number of females in the U.S. under the age of 18, in millions, can be modeled by N = 0.140x + 37.4 where x is the number of years after 2020. (a) Viewing N as a function of x, what is the slope m of the graph of this function? m = (b) Interpret the slope as a rate of change. Every year, the population of females in the U.S., under age 18, in millions, is predicted to increase by m. Every m years, the population of females in the U.S., under age 18, in millions, is predicted to increase by 1.     The slope m represents the number of females in the U.S., under age 18, in millions, in year 2060. The slope m represents the number of females in the U.S., under age 18, in millions, in year 2020. (c) What does the model predict the population of females under 18 (in millions) will be in 2030? million

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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.