The population (in millions) of a country as a function of time t (years) is P(t) = 30 · 20.1t . Show that the population doubles every 10 years. Show more generally that for any positive constants a and k, the function g(t) = a2kt doubles after 1/k years.

Q: The number of applications for patents, N. grew dramatically in recent years, with growth averaging…

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Q: We have a large tank filled with 50 liters of pure water. there is a salt solution of concentration…

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Q: e equation of the exponential function that models a data set is = 6.8(1.03)* etermine the range of…

A: Given query is to find the range of the function.

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.