Category: Mathematics

writing requirement
The following
are all calculation results，I need a table with all the number
results, and a paragraph with the explanation of these.（The following are
the results of data analysis. The tables are organized and the contents of the tables
are explained as required.）
1.     Try to
summarize tables of the same type into one table（For example,
Tables 1, 2, and 3 are the same type of tables.）
2.     Summarize
the analysis results of all tables into a paragraph of text

Design a dream home with calculations and scale. File for data input is attached. I don’t know how to correctly put the order in, BUT I’m in DESPERATE need!!!!

please complete the four pro blems below on the attached template
1. Identify the various manufacturing and service system designs and capacity planning methods.
1. The manager of an oil refinery must decide on the optimal mix of two possible blending processes of which the input and output per production run are given as follows:
Process Units
Input
Crude A
Crude B
Output
Gasoline X
Gasoline Y
1
5
3
5
8
2
4
5
4
4
The maximum amount available of crude A and B are 200 units and 150 units respectively. Market requirements show that at least 100 units of gasoline X and 80 units of gasoline Y must be produced. The profit per production run from process 1 and process 2 are Rs. 300 and Rs. 400 respectively. Formulate this problem as a linear programming model.
2. A city police department has the following minimal daily requirement for policeman. Note, you are to consider period 1 as following immediately after period 6. Each policeman works eight consecutive hours. Let X denote the number of men starting work in period t everyday. The police department seeks a daily manpower schedule that employs the least number of policemen, provided that each of the above requirements is met. Formulate linear programming model to find an optimal schedule.
Time of Day
Period
Minimal number of police required during a period
2 – 6
1
20
6 – 10
2
50
10 – 14
3
80
14 – 18
4
100
18 – 22
5
40
22 – 2
6
30
3. . A car dealer selects his cars for sale very carefully so as to ensure the optimization of his profits. He deals in 4 types of cars A, B, F and G. The purchase value of the cars range at Rs. 60,000, 150,000, 55,000 and 220,000 and the sales value is fixed at Rs. 80,000, 175,000, 75,000 and 250,000 respectively. The probability of sale are 0.8, 0.9, 0.6 and 0.50 respectively during a period of six months. In order to invest Rs. 20,00,000 in his deals, he wishes to maintain the rates of purchase of cars as 3 : 1 : 2 : 4. Work out how and how much he should buy. Formulate this problem as LP model.
4.  Use graphical method to solve the following LP problems 
Max. Z = 3×1 + 4×2
Subject to
2×1 + x2 ≤ 10
x1 + 3×2 ≤ 12
x1 + x2 ≤ 6
x1, x2 ≥ 0
See Assignment Template attached

Can you correct my test and give me a step-by-step explanation of what I did wrong, as well as why and how?

Write a Term Paper on a controversial Discrete Mathematic topic.
Choose one among the three. Please do not use ChatGPT. It should sound like a writing written by a human.
1. **Blockchain Technology and Privacy**:
– Explore the
privacy implications of blockchain technology, particularly in public
blockchains like Bitcoin and Ethereum.
– Discuss
controversies surrounding the pseudonymous nature of blockchain transactions
and the challenges of achieving anonymity.
– Examine
privacy-enhancing technologies (PETs) such as zero-knowledge proofs and ring
signatures and their potential to improve privacy in blockchain systems.
– Analyze
regulatory responses to privacy concerns in blockchain, including initiatives
such as GDPR compliance and the development of privacy-preserving blockchain
frameworks.
2. **Blockchain Technology and Encryption**:
– Investigate the
role of encryption in securing blockchain networks, including cryptographic
primitives like hash functions and digital signatures.
– Discuss
controversies surrounding encryption standards and backdoor access in
blockchain systems, particularly in the context of government surveillance and
law enforcement.
– Explore emerging
cryptographic techniques such as homomorphic encryption and multi-party
computation and their applications in blockchain privacy and scalability.
– Examine the
trade-offs between security, scalability, and privacy in blockchain design and
the role of discrete mathematics in optimizing cryptographic protocols for
blockchain applications.
3. **Network Theory and Social Media**:
– Analyze social
media platforms as complex networks and apply network theory concepts such as
centrality, clustering coefficient, and community detection to understand their
structure and dynamics.
– Discuss
controversies surrounding algorithmic curation and the impact of social media
algorithms on information diffusion, echo chambers, and filter bubbles.
– Examine the role
of social network analysis in addressing societal challenges such as the spread
of misinformation, online polarization, and the amplification of harmful
content.
– Explore ethical
considerations in social media research, including data privacy, informed
consent, and the potential for algorithmic bias in network analysis algorithms.
Each of these topics offers a rich terrain for exploration
at the intersection of discrete mathematics, technology, and societal concerns.
You can delve into specific controversies, examine real-world case studies, and
propose innovative solutions informed by mathematical principles. 

Objective: Research a known historical mathematician (Examples: Euler, Newton, Leibniz, Galois,
Lorentz)
– Discover the mathematician contributions to modern day mathematics
– Explain how this mathematics may have influenced modern day life or how it has affected
historical events in the world
– Discover the importance of mathematics

Purpose: The purpose of this discussion is to learn by teaching. If you teach other people how to work something it shows mastery in your understanding. 
Post: Pick your favorite way to display data. You may choose histograms, box plots, stem and leafs or any other display techniques you have learned this week. Create a video of yourself teaching the class how to display your data. You may video yourself with paper and pencil, a dry erase board, apple pages, etc. You may also use your textbook as a guide to finding data. Feel free to use any of the exercise questions at the end of each section to create your own question.

Chapter 14 & 15
14.2 The Indefinite Integral
14.4 More Integration Formulas
14.5 Techniques of Integration (long Division)
14.7 The Fundamental Theorem of Integral Calculus
14.10 Area between Curves
14.11 Consumers’ and Producers’ Surplus
15.1 Integration by Parts with solutions
Chapter 17
17.2 Partial Derivatives
17.5 Higher Derivatives
17.7 Maximum Minimum for Functions of two variables

I have 10 values and I need box and whisker plot with labels and answer the following questions : Explain what each quartile is on your box and whisker plot (label). That is what does each of the numbers on the box and whisker plot represent in your experiment. Don’t just list the numbers but instead explain what they mean. ie. what does it mean that XX is the Q1 (25%)? You could write 25% of all less than __, 50% of all are… Celery-2.99 Onion-2.99 Grape-2.99 Collards-1.29 Kale-1.29 Cucumber-1.29 Potatoe-1.99 Broccolini-2.99 Mushroom-3.99 Rapini2.99

Search for 48 46 44 32 44 69 75 49 52 56 44 44 31 68 70 56 60n58 61 10 55 51b45 72 60 58 45 4 57 59 40 51 construct a frequency distribution table and solve the mode, mean, median, class, class interval, sample variance sample standard deviation on Google
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