I am not sure if it's Two critical points or three Determine all critical points of the system of equationsdy(8 + x)(y-x), = (2-x) (y + x).dtNumber of critical points: TwovP = (?, ?)Find the correspondingif possible.J(?, ?)dxdt-=? ?? ?does notexistP = (?, ?)linear system, J, near each critical point,does notexistJ(?, ?)-[(9)??)Find the eigenvalues of each linear system.NOTE: Enter the exact answers.J(?, ?) hasChoose one ▾eigenvalues.J(?, ?) hasChoose one ▾eigenvalues.

To determine all critical points of the system of equations dxdt=8+xy-x, dydt=2-xy+x Also to…

Answered: Determine all critical points of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I have collected real data on the sale of a microwavable cup of soup across 20 different cities for the same time period (a month). The variables in the dataset are: Quantity sold in the city for that month: Measured in thousands of units Price: measured in dollars Average Income in the city: Measured in thousands of dollars Ads: Average number of ads run in stores for that city during that month. Price of a substitute product: measured in dollars Population of the city: measured in thousands of people The dataset is on Canvas and, using Excel or any other statistical software, please answer the following questions: 1. Describe the patterns in quantity sold and own and rival prices during this time period using basic descriptive statistics. Graphs are welcome as well. 2. Take the logs of the variables, and estimate the demand function. a. Interpret the R-square. b. Interpret the coefficients for logP and logPsub c. Interpret the p-values associated with each independent…
If Starbright Coffee Shop could get 1 more pound of coffee, which one should it be?What would be the effect on sales of getting 1 more pound of this coffee?• If the costs associated with increasing brewing capacity from 30 gallons to 40 gallonsper day come out to roughly $15 per day, would such a change be profitable?• If the shop spent $20 per day on advertising that would increase the relative demandfor Pomona to twice that of Coastal, should it be done?
9.2
Suppose you are the marketing manager of a firm, and you plan to introduce a new product to the market. You have to estimate the first year net profit, which depends on several variables • Sales volume (in units) • Price per unit • Unit cost . Fixed costs Your net profit is net profit = sales volume x (price per unit-unit cost) - fixed cost The fixed cost is $120, 000, but other factors have some uncertainty. Based on your market research, there are equal chance that the market will be slow, ok, or hot. • Slow market the sales volume follows Poisson distribution with mean 50,000 units product, and the average price per unit is $11.00 ● Ok market the sales volume follows Poisson distribution with mean 75,000 units product, the average price per unit is $10.00 Hot market: the sales volume follows Poisson distribution with mean 100,000 units product, but the competition is severe so you expect the average price per unit is just $8.00 No matter what the market type is, your average unit…
Interpret and Explain step by step the result.
3.3-4
Exercise 2. Marginal and Conditional Relationships can be Very Different. For 100 mild cases of eczema, a new treatment had a higher cure rate than the old treatment (33.3% of 90 vs. 20% of 10). For 100 severe cases of eczema, again the new treatment had a higher cure rate than the old treatment (60% of 20 vs. 50% of 80). Over all 200 eczema cases, however, the old treatment had a higher cure rate than the new treatment- i.e. Simpson's Paradox strikes again. (a) Compute the overall cure rates for the new and old treatments. (b) Which treatment, old or new, would you choose and why?
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Suppose that two variables, say x and y, have a very strong negative linear relationship. By virtue of the fact that the relationship is a STRONG, NEGATIVE, LINEAR relationship, which of the following statements is (are) true? Select ALL that apply. A. If the value of x increases, then we expect the value of y to decrease. B. If the value of x decreases, then we expect the value of y to decrease as well. C. If the value of x decreases, then we expect the value of y to increase. D. If the value of x increases, then we expect the value of y to increase as well.

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