This chart shows American troop strength during what conflict?
Responses
A Gulf WarGulf War
B Korean WarKorean War
C World War IIWorld War II
D Vietnam War

(Page 313, 6.3 Computer Problems, 1(a,d)) Apply Euler's Method with step sizes At = 0.1 and St = 0.01 to the following two initial value problems: Y = y + y2 1 = 31+32 Y2 = Y + y2 y2 = 2y1 + 2y2 y (0) 1 y (0) = 5 Y2 (0) - 0 Y (0) = 0 One can verify that the exact solutions are Y1 et cost = Y = 3e-t +2e4t Y/ == - et sint Y2 = -2e-t +2e4t respectively. Plot the approximate solutions and the correct solution on [0, 1], and find the global truncation error at t = 1. Is the reduction in error for At = 0.01 consistent with the order of Euler's Method? [3 marks] Please state the general framework of local optimization methods. Point out a potential problem of this framework and suggest a way to fix it. growth of real gdp per person is totally determined by the growth of average: The questions to answer are as follows: 1. What steps are included in the training design model? 2. What step do you think is the most important? Why? 3. What other elements in training are important and what are the job projections for this profession? 4. Provide an example of a business that uses training and explain how it has helped them 6. Determine the number of terms in the arithmetic sequence below if a, is the first term, an is the last term, and S, is the sum of all the terms. a1=25, an = 297, Sn = 5635. A) 42 B) 35 C) 38 D) 27 Let X take on the values 1, 0, 1 with P (X = 1) = P (X = 1) = 1/8 and P (X = 0) = 3/4 . 144 random samples of X are taken. Approximate the probability that the mean of the sample is between 0 and 0.033. The integral 31-162dz is to be evaluated directly and using a series approximation. (Give all your answers rounded to 3 significant figures.) a) Evaluate the integral exactly, using a substitutio Does the new tax scheme imply a Pareto improvement compared tothe initial situation with no taxes? Explain, also intuitively, whyor why not.1. Consider the two-period endowment economy discussed in class. The economy is populated by m consumers. The lifetime utility function of each consumer is time separable and is given by U(c,d) = u(c) describe the energy requirement for and the mechanism by which solute movement occurs in simple and facilitated diffusion (1) The computer repairman is given 6 computers to test. He knows that among them are 4 bad video cards and 5 failed hard drives. What is the probability that the first computer he tries has neither problem?2) You are about to attack a dragon in a role playing game. You will throw two dice, one numbered 1 through 9 and the other with the letters A through J. What is the probability that you will roll a value less than 6 and a letter other than H?(3) The names of 6 boys and 9 girls from your class are put into a hat. What is the probability that the first two names chosen will be a girl followed by a boy?(4) A shuffled deck of cards is placed face-down on the table. It contains 7 hearts cards, 4 diamonds cards, 3 clubs cards, and 8 spades cards. What is the probability that the top two cards are both diamonds? Question 12 1 pts What area in the graph below illustrates the gain to domestic producers as a result of a government placing a tariff to protect the shoe industry? Domestic Supply D E Domestic Demand Let f(x) = (3x^2 - 8x + 5) / (4x^2 - 17x + 15) Consider the end behavior and the behavior at each asymptote. As x [infinity], y _____As x-[infinity], y_____As x 5/4-, y_____As x 5/4+, y_____As x 3-, y_____As x 3+, y_____ 4. (20 points) In this question we explore the connection between the kernel of a lin- ear function and the image. Let V and W be finite dimensional vector spaces with dim(V) = 1, and let T: VW be a linear transformation. (a) (4 points) Suppose K = {v V: T(v) = 0) is the kernel of T. Show that K is a subspace of T. (We proved this in class earlier in the semester, prove this again). (b) (3 points) Let B = {0...} be a basis for K. Show that m The U.S. Department of Transportation requires tire manufacturers to provide tire performance on the sidewall of the tire to better inform prospective customers when making a purchase.One very important measure of tire performance is the tread wear index, which indicates the tire's resistance to tread wear compared with a tire graded with a base of 100. This means that a tire with a grade of 200 should last twice as long, on average, as a tired graded with a base of 100. A consumer organization wants to estimate the actual tread wear index of a brand name of tires that claim "graded 200" on the sidewall of the tire. A random sample of n = 18 indicates a sample mean tread wear index of 195.3 and a sample standard deviation of 21.4.A) Assuming that the population of tread wear indexes is normally distributed, construct a 95% confidence interval estimate of the population mean tread index for tires produced by this manufacturer under this brand name.B) Do you think that the consumer organization should accuse the manufacturer of producing tires that do not think meet the performance information provided on the sidewall of the tire? Explain.C) Explain why an observed tread wear index of 210 for a particular tire is not usual, even though it is outside the confidence interval developed in (a). 8. For a particular time study a company would like to be 95%confident that the average job cycle time is within 2% of the trueaverage job cycle time. Assume that the average job cycle time was6.53 . a gear ratio is a direct measure of the ratio of the rotational speeds of two interlocking gears. it is calculated as the ratio of the number of teeth in the driven gear to the number of teeth in the drive (smaller) gear. a mechanic wants to design the gears with a gear ratio of approximately 3.87248. if he assumes that wheels cannot have more than 50 teeth on them, how many teeth should there be on each gear? Which of the following is not a determinant of sample size for probability samples?a. budget availableb. research objectivesc. rule of thumbd. all of these are determinants urgent have you help solve !!!!1,2,3,4Solve the following systems of equations using the Gaussian Elimination method. If the system has infinitely many solutions, give the general solution. (x + 2y = 3 2. (-2x + 2y = 3 7x - 7y=6 (4x + 5y What is the slope of the line that is perpendicular to y = - 3x - 1 Let the inner product be defined as = 2uv +3UV + UzV3. a) Find all vectors v = (p, q, r) that are orthogonal to the vector u = (2,1,-1). b) What is the equation of a unit circle in this in