Answer the following questions, and explain your reasoning. bring to class an example of a differential equation (or set of equations) describing a physiological or biological system or process. include a reference for where you got the equation (book title, author, and page number if it is from a book; title, author, journal name and volume, and publication date if it is from a journal article; or url if it is from a webpage) as well as a brief description of what the differential equation is meant to model. (make sure to include a description of what the model variables and parameters represent.) we will discuss these examples in class and decide how to classify them: linear or nonlinear? time-invariant or time-varying? causal or noncausal?

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

If, while training for a marathon, you ran 60 miles in 2/3 months, how many miles did you run each month? (assume you ran the same amount each month) write your answer as a whole number, proper fraction, or mixed number in simplest form. you ran __ miles each month.