As we learned previously, most fish are indeterminate growers, which means they continue growing throughout their lives. Nemo the fish grows at a rate f (t) = 3e-0,4t centimeters per year. 1. How much does Nemo grow in the first three years of his life? 2. If Nemo started life at 3 centimeters, how long is he after three years?

Q: 6. The number of tree frogs on an island is growing at a rate proportional to the population. The…

A: topic - exponential function

Q: The rate of increase of the number of working married couples M (in millions) in the United States…

A: Given: The rate of increase of the number of working married couples M in the US from 2008 through…

Q: A certain bacteria culture inhibits exponential growth such that the initial number has tripled in 4…

A: Given: A certain bacteria culture inhibits exponential growth such that the initial number has…

Q: A bacteria culture grows according to the formula of A(t) = 50(2)z. At what rate is the culture…

A: A bacteria culture grows according to the formula of At=50212t

Q: 8. A certain strain of S. pneumoniae is modeled by A(t) = A,ekt where Ao is the initial number of…

A: We have to provide answer according the question.

Q: Based on premilinary reports by geological survey team it is estimated that a newly discovered gold…

A:

Q: Three thousand young trout are introduced into a large fishpond. The number of trout still alive…

A: The model for the number of alive trout after t years is       N(t) = 3000(0.9)t

Q: Example 2: The population of a village in 12 people can be modeled with respect to time in t years…

A: We have to find a) Population of the village in b) Projected average growth rate of the town between…

Q: A biologist is studying the growth of a bacteria. Initially the number of colonies of bacteria is…

A: Consider the given model. Pt=11+be-kt Initially, the number of colonies of bacteria is 200.…

Q: The population of a certain bacteria can be modeled by P= 50(1 + r) where t is the time in hours.…

A: Definition used -       Population growth can be given by the following equation -…

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.