MAT 175 AUM Math Equations & Coefficients Worksheet

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There are 3 pages and 3 questions. To get the full credit please show all your work.
2020/2021
Semester:
Summer Online 2
Section:
O1
Course Information
Course Code:
MAT175
Instructor Name:
Dr. Alper Bulut
Assignment Information
Assignment Type:
Final Assessment 20%
Due Date:
September 27 , 2020
8:00 A.M
Number of
Questions:
4
Number of Pages:
4
Earned Mark
/ 100
Student Information:
Student 1
Name: …………………………………………
Regulations:

It is an individual assessment.
Solve all the questions. Show all your work.
2020 Summer 2 Online Final Assessment
ID: ………………
Q1] An epidemiologist determines that a particular epidemic spreads in such a
way that weeks after the outbreak, hundred new cases will be reported,
where ( )
a.
b.
c.
d.
Find N’(t) and N’’(t) [10 pts]
At what time is the epidemic at its worst? [10pts]
What is the maximum number of reported new cases? [5 pts]
Health officials declare the epidemic to be under control when the rate of
reported new cases is minimized. When does this occur? What number of
new cases will be reported at that time? [10 pts]
e. What will be the number of the new cases in the long run that is as t goes
to infinity? [5pts]
2020 Summer 2 Online Final Assessment
Q2] Find all coefficients (
( )
, ( )
, and
) in ( )
( )
. [10 pts]
2020 Summer 2 Online Final Assessment
such that
Q3]
a. Find derivative of ( ) at
, where ( )
Note: e is the Euler number. [10 pts.]
b. Find derivative of ( ) at
[10 pts.]
, where ( )
(
)

(
)
)√
(
(
c. Find the equation of the tangent line to ( )
the point
. [10 pts.]
2020 Summer 2 Online Final Assessment
( )
( )
(
)
√ (
)
)√
at
Q4] ( )
a. Find all vertical asymptotes. [10 pts.]
b. Find all horizontal asymptotes. [10 pts.]
2020 Summer 2 Online Final Assessment

attachment

4 Questions

Tags:
math

equations

coefficients

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