What converge the Fourier row against when X = 3? Use x = 3 in the Fourier array of f (x) to find an exact value for the sum of the row

Engineer math assignment 5 and 6

A periodic function f (x) is defined by
a) Sketch the graph of f (x) through 3 periods and calculate the Fourier array of f (x). Write the array on the form without expression like .

What converge the Fourier row against when X = 3? Use x = 3 in the Fourier array of f (x) to find an exact value for the sum of the row
Task 3
Given the function by Let H (x) be the even half-periodic expansion of G (X).

Write down the formula for H (x) and sketch the graph of h (x) at the interval . Show that the Fourier row of this becomes

Use the Fourier series to H (x) in x = 0 and x = 2 to find an exact value for the sum of the rows Hint: By evaluating FH (x) I x = 0 and x = 2, you get 2 equations with 2 unknown: and As you can solve as a regular linear system.
Problem 4
Given the function by La k (x) be the odd half-periodic expansion of J (x). Write down the formula for k (x) and sketch the graph of k (x) through 3 periods. How many paragraphs do we have to take from the Fourier series to K (X) to get an average square deviation less than

Explore and provide examples of the types of mathematical patterns and geometric objects M.C. Escher uses in his art.Describe some of the mathematics behind it.

A old school MC

M.C. Escher is an artist famous for his work and also for his usage of mathematics in said art.

Explore and provide examples of the types of mathematical patterns and geometric objects M.C. Escher uses in his art.Describe some of the mathematics behind it.

really focus on the math behind it. And try to explain the math behind it.

Explain why math is important in each case and illustrate your point by using math in some examples.

Home Improvement – Pick a home improvement project that interests you and identify at least 3 ways math is important when calculating the materials, labor, and budget needed for that project. Explain why math is important in each case and illustrate your point by using math in some examples.

Travel and Lodging – Pick a trip that interests you and identify at least 3 ways math is important when planning and budgeting for that trip. Explain why math is important in each case and illustrate your point by using math in some examples.

Saving and Investing – Pick an investment that interests you and identify at least 3 ways math is important when evaluating the costs and potential returns of that investment. Explain why math is important in each case and illustrate your point by using math in some examples.

Without drawing a scatter plot, would you expect a positive, negative or no correlation? Explain.

Read/review the following resources for this activity:

Which would be the independent variable, and which would be the dependent variable?

Without drawing a scatter plot, would you expect a positive, negative or no correlation? Explain.

Would you categorize your data to have a strong or weak correlation? Why?

What would the r2 value tell you about the data that you selected?

What is the equation of the regression line?

Use the regression line to make a prediction about the data you collected.

What is the level of measurement for each of the variables?

Part 3: Exploratory Data Analysis and Descriptive Statistics
I. Provide all TABLES AND GRAPHS for your data
A. These must include the following:

i. Classify EACH variable as qualitative or quantitative.
ii. Classify the quantitative variable as discrete or continuous.
iii. Frequency distribution for all of the variables.
iv. Relative frequency distribution for all of the variables.
v. Histogram for each of the quantitative variables.
vi. An ogive for the quantitative variables.
vii. What is the level of measurement for each of the variables?

b. What patterns, if any have you noticed about your data? This is particularly important when analyzing the level of educational attainment and responses to other questions.

c. Provide descriptive statistics for all the variables in your sample. Remember,
you are only describing your data.

d. What did you find out about your data?

Determine the number of arrangements or ways to select a small number of items is a relatively simple task. With a large number of items, however, the process can become very complicated.

In fact, combinatorics is a field of mathematics dedicated solely to the science of counting.

Determine the number of arrangements or ways to select a small number of items is a relatively simple task. With a large number of items, however, the process can become very complicated. For example, think about all the possible combinations of numbers in lottery tickets or all the different seating arrangements at a big event.

 

Where did the data come from? (Source)If not, what could be changed so that the presentation of the data is unbiased?

Write a 1-2 page, single spaced paper analyzing a piece of media using the guidelines below. Your paper should also include a references page and follow proper formatting (your choice of MLA or APA).
Asses the statistics:

Where did the data come from? (Source)

Is the data valid? (Did the source follow proper protocol to get a good sample?)

Has the data been manipulated or misrepresented?

Is there another article that presents the same data differently?
Interpret that data:

Who is the target audience?

Is there any bias in how the data is presented?

If so, how can you tell?

Is the data relevant to the target audience?

Is it clear what the data is claiming?

Discuss the article

Overall, does the data give an accurate representation of the general population?

Is the article written in a neutral tone?

If not, what could be changed so that the presentation of the data is unbiased?

Is there a better way to reach the target audience?
For example: an online article may not be the best way to reach those in the 60+ age group. Similarly, a news broadcast may not reach parents who are getting their kids ready for school or bed when the broadcast airs.