Mathematics homework help>Calculus homework help
Mathematics homework help>Calculus homework help.
Mathematics homework help>Calculus homework help.
Solve the problem.
3) The profit from the expenditure of x thousand dollars on advertising is given by 3)
P(x) = 930 + 25x – 4×2. Find the marginal profit when the expenditure is x = 9.
4) Find C(x) if C'(x) = 5×2 – 7x + 4 and C(6) = 260. 4)
3 2 3 2
3 2 3 2
5) The revenue generated by the sale of x bicycles is given by R(x) = 50.00x – x2 . Find the marginal
200
5)
revenue when x = 600 units.
6) The rate at which an assembly line worker’s efficiency E (expressed as a percent) changes with 6)
respect to time t is given by E'(t) = 70 – 6t, where t is the number of hours since the worker’s shift
began. Assuming that E(1) = 92, find E(t).
Identify the intervals where the function is changing as requested.
7) Increasing 7)
Determine the location of each local extremum of the function.
8) f(

Find the equation of the tangent line to the curve when x has the given value.
9) f(x) = 5×2 + x ; x = 4 9)
20 5
25 5
Find the largest open interval where the function is changing as requested.
10) Increasing f(x) = x2 – 2x + 1 10) A) (Q, 0) B) (0, Q) C) (Q, 1) D) (1, Q)
Find dy/dx by implicit differentiation.
11) 2xy – y2 = 1 11)
y – x
x – y
x – y
y – x
Find the area of the shaded region.
12) 12)
3
3
Use the properties of limits to evaluate the limit if it exists.
13) lim x 6
x + 6 (x – 6)2
13)
14) lim x3 + 12x2 – 5x
x 0
14)
5x
Evaluate.

15) 34 dx 15)
x2
x x
Find the integral.

16) 19 dy 16)
2 + 5y
5 5
17) a 8x – 9x1 dx 17) A) 4×2 – 9 ln x + C B) 4×2 + 9 x2 + C
2
2

18) x dx (7×2 + 3)5
18)
56
4
14
7 6
3
+ C D) –
(7×2 + 3) + C
3
19) a 9z 3z2 – 7 dz 19) A) z(3z2 – 7)3/2 + C B) (3z2 – 7)3/2 + C
3/2
1 3/2
2
+ C D)
(3z2 – 7) + C
2
Find the absolute extremum within the specified domain.
20) Maximum of f(x) = x2 – 4; [1, 2] 20) A) (1, 3) B) (2, 0) C) (1, 3) D) (2, 0)
Assume x and y are functions of t. Evaluate dy/dt.
21) x3 + y3 = 9; dx = 5, x = 2 21)
dt
4
5
Use the given graph to determine the limit, if it exists.
22)
22)
lim
x 0
f(x) and lim
x 0+
f(x).
Find the derivative of the function.
23) y = (3×2 + 5x + 1)3/2 23)
2 2
24) y = ln (3×3 – x2) 24)
3×2 – x
3×3 – x
3×2 – x
3×2
Find the derivative.
25) y = e5x2 + x 25) A) 10xe + 1 B) 10xe2x + 1 C) 10xex2 + 1 D) 10xe5x2 + 1
26) f(x) = 20×1/2 – 1 x20 26)
2
Find the general solution of the differential equation.
27) dy = x – 2 27)
dx
2 2
Evaluate f”(c) at the point.
28) f(x) = 3x – 4 , c = 1 28)
4x – 3
A) f”(1) = 56  B) f”1) = 7  C) f”(1) = 44  D) f”(1) = 32  
29) f(x) = ln (4x – 3), c = 1 A) f”(1) = 1 
B) f”(1) = 0 
C) f”(1) = 4 
D) f”(1) = 16 
29) 
Find the largest open intervals where the function is concave upward.
30) f(x) = x3 – 3×2 – 4x + 5 30) A) (Q, 1) B) None C) (1, Q) D) (Q, 1), (1, Q)
MTH 202 Calculus in Practice – Modeling COVID 19 using SIR
Instructor: Gelonia L. Dent, Ph.D Fall 2020 Medgar Evers College, CUNY
Utilize your understanding of calculus concepts to model the spread of the coronavirus spread in your
state.
In this task, you will attempt to build a simulation of the virus spread in Excel. Watch the SIR Model
video and take notes. This video explains the mathematical model that connects the susceptible, infected,
and recovered individuals within a population where an infectious disease begins to spread.
1. Modeling: The equations in the SIR model describe the changes in population of people who are
susceptible, infected or recovered during the spread of a disease throughout the population.
dS
dt = aSI,
dI
dt = aSI bI,
dR
dt = rI
a) Rewrite the left side of each equation using the definition of the derivative. For your data,
specify the values of the proportionality constants, a, b and r. Be sure you understand what these
constants mean in the model
b) Create a new sheet in your CIP datasheet, label it COVID Model. Create columns for each
population of the SIR model, and a Constants column for the proportionality constants.
c) Enter the equations that you derived in part (a), into Excel under each. Test that your formulas
give some output. If not, make corrections. Congratulations, you have just written a short
program!
i) Run the simulation for the same period of time, for which you collected data.
ii) Examine the data by visualizing the output. Does it make sense? If not, make corrections.
d) Create a combined graph of the simulated data for each quantity. Label the graphs.
2) Final Report: Write a summary report on the CIP project, include your results the model compared
to the real data. What does your model say about the near future trend of coronavirus in your state?
Submit your final report and the Excel spreadsheet.
Dear students,
To submit your student portfolio, please upload a single pdf file containing all the things that you did for this course. [See the syllabus for more information about the documents that have to be included in your student portfolio.] You can create this pdf file by scanning the documents and then using Microsoft Word or Adobe Acrobat to produce a single pdf file. You can also use free smartphone apps, such as Adobe Scan or CamScanner, to scan the documents and combine them into a single pdf file.
If you have problems to produce your portfolio as a single pdf file, you can make a (short) video of yourself showing the main sections of your student portfolio. You can use a smartphone to make your portfolio video.
When you upload your portfolio (either as a pdf file or as video) to Blackboard, its filename must be in the following format: PortfolioSubmissionYour Last NameYour First Name. For example, if I upload my student portfolio, then its filename must be PortfolioSubmissionCruzAldo.
If your portfolio video is too big to upload it to Blackboard, try compressing the video, lowering its resolution or making it shorter before uploading it. If none of those things helps, try to submit your portfolio as a pdf file.
Please upload your portfolio file to the correct place in Blackboard (Student Portfolios>Click here to upload your portfolio).
The due date for uploading your portfolio to Blackboard is Monday, 12/7, at 11:59 PM.
Good luck with your finals.
Dr. Cruz
Dear students,
To submit your student portfolio, please upload a single pdf file containing all the things that you did for this course. [See the syllabus for more information about the documents that have to be included in your student portfolio.] You can create this pdf file by scanning the documents and then using Microsoft Word or Adobe Acrobat to produce a single pdf file. You can also use free smartphone apps, such as Adobe Scan or CamScanner, to scan the documents and combine them into a single pdf file.
If you have problems to produce your portfolio as a single pdf file, you can make a (short) video of yourself showing the main sections of your student portfolio. You can use a smartphone to make your portfolio video.
When you upload your portfolio (either as a pdf file or as video) to Blackboard, its filename must be in the following format: PortfolioSubmissionYour Last NameYour First Name. For example, if I upload my student portfolio, then its filename must be PortfolioSubmissionCruzAldo.
If your portfolio video is too big to upload it to Blackboard, try compressing the video, lowering its resolution or making it shorter before uploading it. If none of those things helps, try to submit your portfolio as a pdf file.
Please upload your portfolio file to the correct place in Blackboard (Student Portfolios>Click here to upload your portfolio).
The due date for uploading your portfolio to Blackboard is Monday, 12/7, at 11:59 PM.
Good luck with your finals.
Dr. Cruz
Dear students,
To submit your student portfolio, please upload a single pdf file containing all the things that you did for this course. [See the syllabus for more information about the documents that have to be included in your student portfolio.] You can create this pdf file by scanning the documents and then using Microsoft Word or Adobe Acrobat to produce a single pdf file. You can also use free smartphone apps, such as Adobe Scan or CamScanner, to scan the documents and combine them into a single pdf file.
If you have problems to produce your portfolio as a single pdf file, you can make a (short) video of yourself showing the main sections of your student portfolio. You can use a smartphone to make your portfolio video.
When you upload your portfolio (either as a pdf file or as video) to Blackboard, its filename must be in the following format: PortfolioSubmissionYour Last NameYour First Name. For example, if I upload my student portfolio, then its filename must be PortfolioSubmissionCruzAldo.
If your portfolio video is too big to upload it to Blackboard, try compressing the video, lowering its resolution or making it shorter before uploading it. If none of those things helps, try to submit your portfolio as a pdf file.
Please upload your portfolio file to the correct place in Blackboard (Student Portfolios>Click here to upload your portfolio).
The due date for uploading your portfolio to Blackboard is Monday, 12/7, at 11:59 PM.
Good luck with your finals.
Dr. Cruz
Instructions:  
This final assignment workbook contains multiple worksheets, make sure you review them all before working on this assignment.  
The first sheet “rawData” has (as the name implies the raw Data file).  
The second sheet has a listing of different occupation codes and titles.  
The third sheet (area_state) has a listing of states by area.  
The remaining worksheets include additional problem sets.  
Show all your work. Simply having the answer (and not the underlying function(s) or pivots) will not be sufficient for any points.  
Points Possible  
20  Problems 1 – 2: Using a function learned in class, pull in the state_abbreviation and state_title from the area_state worksheet into the rawData file (into Columns C and D). So that the accurate state information is listed in the appropriate row as per the unique field.  
Hint: The area code is the unique field to join these tables together.  
20  Problems 3 – 4: Using a function learned in class, pull in the OCC_Title and OCC_GROUP from the occ_info worksheet into the rawData file (into Columns F and G), so that the accurate occupation information is listed in the appropriate row as per the unique field.  
Hint: The OCC_Code is the unique field to join these tables together.  
60  Problems 5 – 10  
See the remaining worksheet tabs for the remaining problems associated with this assignment.  
100  
Data Source:  United States Deparment of Labor  
Bureau of Labor Statistics  
Occupational Employment Statistics  
Downloaded from: http://www.bls.gov/oes/tables.htm in August 2015  
Note: This workbook has been severly edited for this assignment. All but 5 states and 5 OCC Categories have been eliminated to help minimize the Excel file size. 
You can pick the most appealing option and listen to all videos in that option. For instance, you decide to listen to option 1. You need to listen to Mendelssohn, Mozart, and Shostakovich. All options are approximately the same length (90min) and mimic what a live classical concert would be like. Since you need to listen to two concerts, you will need to pick two options! (You will find the options in the Word document below)Write a report and make sure to talk about the following:
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