Answered: Resuelva x + 10x1 – 4x2 = 0 - -4x + x,…

Math

Advanced Math

Resuelva x + 10x1 – 4x2 = 0 - -4x + x, + 4x, = 0 sujeta a x(0) = 0, x¡(0) = 1, x,(0) = 0, x2(0) = -1.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

A manufacturing company has been experimenting with a new additive that is used to reduce polluting effluents from its production facility. Test results suggest that if no additive is used, pollution levels are 3000 parts per million (ppm). For each pound of additive used per week, pollution levels are reduced by 0.49 ppm. The additive costs $30 per pound. The reason for experimenting with the additive is that a government agency is conducting weekly air quality tests in the vicinity of the production facility. Regulations state that if pollution levels exceed 2000 ppm, a fine is imposed. The fine is $1000 for each ppm by which the pollution level exceeds the 2000 ppm limit. If the company has budgeted $80,000 per week to spend on the additive and any pollution fines, how much additive should be purchased each week for use by the company? What is the resulting amount that the company is willing to pay in terms of weekly fines?
If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500 = 16 pounds (lb). Here are the weights before and after the 8-week period, expressed in kilograms (kg). Subject 1 2 3 4 5 6 7 8 Weight before 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 Weight after 61.7 58.7 66.0 66.2 79.1 82.2 74.2 59.3 Subject 9 10 11 12 13 14 15 16 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8 Weight after 79.1 66.1 73.5 76.8 93.0 63.0 68.1 60.2 Find the mean (x bar) and the…
If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500 = 16 pounds (lb). Here are the weights before and after the 8-week period, expressed in kilograms (kg). Subject 1 2 3 4 5 6 7 8 Weight before 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 Weight after 61.7 58.7 66.0 66.2 79.1 82.2 74.2 59.3 Subject 9 10 11 12 13 14 15 16 Weight before 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8 Weight after 79.1 66.1 73.5 76.8 93.0 63.0 68.1 60.2 Report the 95% confidence…
Investments: Financial Stocks At the end of September 2021, Toronto Dominion Bank (TD) stock cost $66 per share, was expected to yield 4% per year in dividends (calculated on the total value of TD stock you bought), and had a risk index of 3.0 per share, while CNA Financial Corp. (CNA) stock cost $42 per share, was expected to yield 3.5% per year in dividends, and had a risk index of 2.0 per share.† You have up to $25,800 to invest in these stocks, and would like to earn at least $958 in dividends over the course of a year. (Assume the dividends to be unchanged for the year.) How many shares (to the nearest tenth of a unit) of each stock should you purchase to meet your requirements and minimize the total risk index for your portfolio? Toronto Dominion Bank _____shares CNA Financial Corp. ___shares What is the minimum total risk index? (Round your answer to two decimal places.)
Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a proprietary type of green algae. The fertilizer is an experimental mixture of 4 ingedients: salt, water, soil, and algae (all measured in liters). In order to remain stable, the ratio of salt to water must be 5 to 8. In addition, the number of liters of salt and soil combined must always be the same as the number of liters of algae and water combined. How many liters of each compound should be included to create 110 liters of the fertilizer? Set up a system of equations, and then solve using your calculator. Use the variables in order in your equations as x, y, z, w as shown below in part a. MAKE SURE IT IS MATRIX FORM!a) Solve the system; write the solutions here, using tt as the parameter as needed. Solution:x= liters of salt ;y= liters of water ;z= liters of soil ; andw= liters of algae.b) If 14.9 liters of algae are to be used for a batch, how much of each compund will be…
Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a proprietary type of green algae. The fertilizer is an experimental mixture of 4 ingedients: salt, water, soil, and algae (all measured in liters). In order to remain stable, the ratio of salt to water must be 2 to 5. In addition, the number of liters of salt and soil combined must always be the same as the number of liters of algae and water combined. How many liters of each compound should be included to create 125 liters of the fertilizer? Set up a system of equations, and then solve using your calculator. Use the variables in order in your equations as x, y, z, w as shown below in part a.a) Solve the system; write the solutions here, using tt as the parameter as needed. Solution:x= _______ liters of salt ;y= _______ liters of water ;z= _______ liters of soil ; andw=_______ liters of algae.b) If 50.3 liters of algae are to be used for a batch, how much of each compund will be included in…
The U.S. government wants to determine whether immigrants should be tested for a contagious disease, and it is planning to base this decision on financial considerations. Assume that each immigrant who is allowed to enter the United States and has the disease costs the country $100,000. Also, assume that each immigrant who is allowed to enter the United States and does not have the disease will contribute $10,000 to the national economy. Finally, assume that x percent of all potential immigrants have the disease. The U.S. government can choose to admit all immigrants, admit no immigrants, or test immigrants for the disease before determining whether they should be admitted. It costs T dollars to test a person for the disease, and the test result is either positive or negative. A person who does not have the disease always tests negative. However, 10% of all people who do have the disease test negative. The government’s goal is to maximize the expected net financial benefits per…
create 2 sample word problems of chain rule of integration with solutions
A tank contains initially 2.500 liters of 50% solution. Water enters the tank at the rate of 25 iters per minute and the solution flows out at the rate of 50 liters per minute. Find the percentage of salt after 20 minutes
The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5% respectively. Suppose you have 3200 to invest and you want to put twice as much in the growth fund as in the money market to maximize your return. How should you invest to get a return of 250 dollars in 1 year?
Even though housing prices have been declining in many parts of the country, in Lara's neighborhood, they have been increasing steadily since Lara bought her home in 2006. Lara purchased her home in 2006 for $140,000, and it steadily increased its value by $3400 a year. Let V represent the market value (in dollars) of her home; x, the length of time she has lived there (in years).
In a hypothetical city, there is a population of 200,000 people. During the year 2000, there were 1,000 deaths from all causes. All new cases of disease “X” have been accounted for and they total 600 (400 males and 200 females). During the year 2000 there were 120 deaths from disease “X”, 100 of them in males. What is the crude death rate for all causes per 1,000 population?