MY NOTES ASK YOUR TEACHER For the following exercise, refer to the information given below. Round all answers to the nearest integer. In a biology experiment, let N(t) be the number of bacteria in a colony after t hours, where t 0 corresponds to the time the experiment begins. Suppose that during the period fromt 4 hours to t 8 hours the number of bacteria is modeled by the exponential function N(t) = e. (See figure below.) 3000 2000 1000 6 8 N(t) - et, 4 s ts 8 (a) Find the average rate of change of the population over the time period 5 sts 6. bacteria per hour (b) What is the instantaneous rate of change of the population at t5 hr? At t= 5.5 hr? at t = 5 hr bacteria per hour at t 5.5 hr bacteria per hour

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A: we need to find out the equation for the exponential depreciation.

Q: AB If r = C determine what logr is equal to, then expand the expression using the properties of…

A: Given

Q: complete

A: We will solve the problem.

Q: Find an exponential function for the following graph.Express your answer in the form y = Abx.

A: Definition used -              Exponential function -  It is given by y= Abx…

Q: Exponential functions can be used to model the growth of bacteria. N = No ert where For a particular…

A: Please see the below picture for detailed solution.

Q: CHALLENGE. Answer the following questions. 1. Consider the following expression: log, v3 If it is…

A: 1 Consider the following expression: log2 3If it is rewritten in the form: log2 aWhere, 'a' is a…

Q: Many animal populations, such as that of rabbits, fluctuate over ten-year cycles. Suppose that the…

A: Given  N(t) = 1000cos(πt5) + 4000

Q: The graph of an exponential function g(x) a* is shown below. What is the value of a? y of 1 stion -1…

A:

Q: Find an exponential function for the following graph. Express your answer in the form y = Abx

A: Here we have to find the exponential function from the given graph Let it be of the form : y=a.bx…

Q: Q = Q=DQoekt Suppose that two months ago Kelly had 3 goldfish and now Kelly has 17 goldfish. Assume…

A: Given that,Initial population=Q0=3Final population=Q=17Time=t=2 monthsPlugging them in the formula…

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 -…

Q: 18. Find the value of the growth factor b, in the exponential function, f(t) = ab', that would…

A: use given points for finding b

Q: Convert the given exponential function to the form indicated. Round all coefficients to four f(t) =…

A: Given function: ft=2.71.005t............(1) Form of exponential function is, ft=Q0ekt............(2)…

Q: I bought a triangular Chia-Pet (silly plant that grows in the shape of a triangle). As it grows, the…

A:

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.