a) Plot the following three curves on a single plot and a multiple plots (using the subplot command): 2 cos(t), sin(t), and cos(t)+sin(t). Use a time period such that two or three peaks occur for each curve. Use solid, dashed, and + symbols for the different curves. Use roughly 25-50 points for each curve. b) Find the eigenvalues of the matrix -1 0 0 2 1 --2 0 6 D= 1 3 −1 8 0 0 0 -2 c) Find the solutions to the equation f(x) = 3x³ + x² + 5x-6 = 0. Use roots and fzero. d) Integrate the equations, from t = 0 to 1 = 5 dx1 +x2 dt dx2 =-x2 dt with the initial condition x₁(0) = x²(0) = 1. Use ode45 (Module 3) and plot your results.

USE DESCRIPTIVE STATS A report shows that Covid-19 reduced household expenditure in Europe by 8% in 2020. Elsewhere, consumer spending also dropped significantly in 2020, with 4% seen in the United States, and 17% reported in China (Broom, 2021).After reading the report, Mr. Goh, a student of Singapore University of Social Sciences, was interested to find out how Covid-19 has affected the household spending in Singapore. Surprisingly, he found news saying that consumer spending among Singapore residents was resilient and at a similar level to 2019 (Choo, 2021).In order to have a better understanding of the impact of Covid-19 on household spending of Singapore residents, Mr. Goh decided to conduct a survey. He got a random sample of 32 students from Singapore University of Social Sciences, and collected data on their average monthly household expenditure in 2019 and 2020. Based on his own experience, he hypothesised that the household expenditure of Singapore residents in 2020 is lower…

A psychologist developed a new test of adult intelligence. The test was administered to 20 individuals and the data entererd into the Microsoft Excel Online file below. Construct a stem-and-leaf display for the data, using a leaf unit of 1.

Basketball players can take shots worth 3 points, 2 points, or 1 point. A scout is assessing two players- Tabitha and Lauren-who play for different teams in different leagues. The scout wonders if they have similar or different shot selections. They take a random sample of Tabitha's games and a separate random sample of Lauren's games. They tally how many of each type of shot the players attempted in those games. Here is a summary and the results of a chi-square test: Chi-square test: Shot vs. player Tabitha Lauren 3-point 8 12 Expected 10.34 9.66 2-point 40 37 Expected 39.83 37.17 1-point 12 Expected 9.83 9.17 x² = 2.097, DF = 2, P-value = 0.350 %3D Assume that all conditions for inference were met. At the a = 0.05 significance level, what is the most appropriate conclusion to draw from this test? Choose 1 answer: This is convincing evidence that the distribution of shot type differs between Tabitha and Lauren.

When a group of subjects entered a room, researchers recorded both the color of shirt worn by thesubject, and whether or not the subject smiled. The results are recorded below. With 0.05significance, test the claim that color of shirt and smiling are independent. Use your calculator.Smiled         No SmileGreen Shirt 15   10Blue Shirt 13      7Yellow Shirt 5     8

i need this. HELP ASAP 13) The categorical variable marital status has the following values: single, married,separated, divorced, and widowed. To include marital status in a multiple regressionmodel, how many indicator variables will be included?A) ThreeB) TwoC) FiveD) OneE) Four

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Arthritis is a very commonly occurring affliction. It is a major cause of lost work time and often results in serious disability.  Of the many types of arthritis, the most common type is osteoarthritis.  This condition is frequently due to wear and tear in the joints and is more likely to be found in people over 50.  It is very painful in the weight-bearing joints, such as the knees and hips.  Cartilage wears away on the bone ends, causing pain and swelling.  Osteoarthritis may develop after an injury such as a bone fracture or a joint dislocation.  To reduce the amount of time osteoarthritis patients are absent from work, it is important for them to have effective pain relief.  An experiment was conducted to compare the effectiveness of three new analgesics: A1, A2, and A3.  A clinic evaluated a large group of patients and identified 45 patients with a moderate level of pain.  Fifteen of the 45 persons were then randomly assigned to one of the three analgesics.  The patients were then…