see image for table) a) Find the equation that gives the population as a function of the months b) How long will the population be 5,000 bacteria?

Q: 2. A population of bacteria grows exponentially. Initially there was 1500 bacteria. After five hours…

A: Population studies problem....

Q: 1. A drug's effectiveness decreases over time. If each hour, a drug is only 90% as effective as…

A: The amount of the medication available t hours after the drug was administered is given by,…

Q: The number of people who have attended theme and amusement parks has grown approximately…

A:

Q: a)Determine the price of the home after 12 years. b)What type of function does the data represent?…

A:

Q: a certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

A: A certain strain of bacteria is placed in a petri dish as a part of an experiment.  The number of…

Q: A population numbers 11,000 organisms initially and grows by 10.4% each year. Suppose P represents…

A:

Q: Total personal income of the country (in billions of dollars) for selected years from 1956 to 2001…

A:

Q: A population numbers 17,000 organisms initially and grows by 14.6% each year. Suppose P represents…

A: Our model function is P = abt, a is the initial number of population which is 17000 and b is (1+r).…

Q: Which function produces an exponential graph through (0, 1) and (1, e)?

A:

Q: O Write an equation for an expone function with no horizontal or vertical shift that goes through…

A: The exponential function is of the form y=abx

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.