. The percentage of American households who have a (color) television grew steadily since its first widespread availability in the early 1960s. It is well modeled by this function: p(t) = 97/ 1 + 30e^−0.27t where t = years since 1960. (a)  Sketch a well-labeled graph of this function for the years 1960-2020. What type of function is this? (b)  According to the model function, what percentage of American households did not own a color television in 2020? (c) When, if ever, will this percentage reach 100%?

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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.