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Exponential Growth and Decay; Modeling Data

Exponential Growth and Decay; Modeling Data In this section, we will study some of the applications of Exponential and logarithmic functions . Logarithms were invented by John Napier. Originally, they were used to eliminate tedious calculations involved in multiplying, dividing, and taking powers and roots of the large numbers that occur in different sciences. Computers and calculators have since eliminated the need of logarithms for these calculations. However, their need has not been removed completely. Logarithms arise in problems of Exponential Growth and decay because they are inverses of Exponential functions .

(a) Find a function that models the number of frogs after t years. (b) Find the projected population after 3 years. (c) Find the number of years required for the frog population to reach 600. Solution (a): To find the function that models population growth, we need to find the . population n(t). To do this, we use the formula for population ...

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Graphs of Polar Equations - Alamo Colleges District

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