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Math 233 Unit 2 Individual Project

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Math 233 Unit 2 Individual Project

Can you please help me complete this worksheet….?!  I need to plug in 125 as a value for A…..and I do not know how to type the text or insert the correct mathematical symbols.  Thank you,,,,!!!

Math 233 Unit 2 Individual Project
A computer virus is a malicious program that can cause high levels of destruction to your
computer or your mobile device. Even with an antivirus program installed, infections can still
spread very rapidly as it is restricted to detecting infections, based on information on previous
virus code. A team of experts wants to study a recently discovered computer virus by building a
mathematical model that predicts the spread of infection, even with an antivirus installed, as a
function of time.
Be sure to show your work details for all calculations and explain in detail how the answers
were determined for critical thinking questions.
1. Set up a function for the spread of this new computer virus by choosing a value for A, based on
the first letter of your last name, from the table below. (A does not necessarily have to be a whole
number). In your equation, S(t) is the number of machines projected to be infected and t is the
time, in days.
First letter of
your last name Mathematical Model Possible values for A A–F S ( t )=−7 t 3+ A t 2 , 0 ≤t ≤ 12 101–120 G–L S ( t )=−9 t 3 + A t 2 , 121–140 M–R S ( t )=−11 t + A t , 0≤ t ≤ 12 141–160 S–Z S ( t )=−13 t 3+ A t 2 ,0 ≤ t ≤ 12 161–180 3 0<t <12 2 Heath, David
S(t) = -9t^3 + 125t^2 , 0 ≤ t ≤ 12
2. Using the function that you have created from #1, find the value of S(9). 3. Find S ‘ (t ) , the derivative of S(t). Simplify your answer.
Page 1 of 3 4. Find the value of S ‘(9) . 5. Interpret the meaning of S(9) and S ‘(9) . 6. Using the tangent line approximation method, find the projected number of machines that will
be infected after 10 days. 7. Generate a graph for S(t) and S ‘ (t) . (There are free downloadable programs like Graph 4.4.2 or
Mathematics 4.0; or, there are also online utilities such as this site and many others.) Insert the graph into your Word document that contains all of your work details and answers. Be sure to label and
number the axes appropriately. (Note: Some graphing utilities require that the independent
variable must be “x” instead of “t”.) 8. After how many days is the virus projected to infect the maximum number of machines? What
maximum number of machines is projected to be infected? 9. At what intervals is the function increasing and decreasing? What do you think is the reason why
the number of infected machines will start to decrease at some point in the domain? References
Desmos. (n.d.). Retrieved from https://www.desmos.com/
Graph 4.4.2. (n.d.). Retrieved from the Graph Web site: http://www.padowan.dk/
Mathematics 4.0. (n.d.). Retrieved from the Microsoft Web site: http://microsoftmathematics.en.uptodown.com/ Page 2 of 3 Page 3 of 3