The options for a and b are just can or can't be a solution. A 2 X 2 constant matrix A has an eigenvalue -3+4i. Determine if each ofthe following could be a solution ofthe linear system y' = Ay.(a) e-3t(b) e4t-3 cos (4t) — 2 sin(4t) ]3 cos (4t) sin(4t)-2 cos(-3t)[2002 cos(-3t) + sin(-3t)[Select][Select]

Answered: Image /qna-images/answer/022b57c4-e606-4436-978a-ec631cb2a2f9.jpg

Answered: A 2 X 2 constant matrix A has an…

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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Jamie has just completed her second semester in college. She earned a grade of C in her 5-hour linear algebra course, a grade of A in her 4-hour government course, a grade of A in her 5-hour chemistry course, and a grade of A in her 5-hour creative writing course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Jamie's grade-point average for the semester. Jamie's grade point average is (Round to two decimal places as needed.)
Andalus Furniture Company has two manufacturing plants, one at Aynor and another at Spartanburg. The cost of producing Q₁ kitchen chairs at Aynor is 2 75Q₁ +5Q₁² + 100 and the cost of producing Q₂ kitchen chairs at Spartanburg is 25Q₂ +2.5Q₂² + 140. Andalus needs to manufacture a total of 130 kitchen chairs to meet an order just received. How many chairs should be made at Aynor and how many should be made at Spartanburg in order to minimize total production cost? What is the total production cost (in dollars)? Chairs at Aynor Chairs at Spartanburg Total Production cost Q2 = = C = $
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Discount printers manufactures two types of inkjet printers, a consumer version and a business version. The company can make a total of 119 printers per day, and it has 219 labor hours per day available. It takes 1 labor- hour to make a consumer inkjet printer and 3 labor-hour to make a business inkjet printer. The profits are $35 per consumer inkjet printer and $60 per business inkjet printer. (Use x for consumer inkjet printer and y for business inkjet printer.) Maximize P = 119 <219 subject to Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If more than one solution exists, enter only one of the multiple solutions below. If needed, round all answers to the nearest whole. Maximum profit is $ Number of consumer inkjet printer to maximize profit is Number of consumer business printer to maximize profit is
United Airlines is looking to purchase new planes. Their budget is 1.4 billion dollars ($1,400 million) and they have 24 pilots available. Airbus offers a plane for $100 million that can seat 130 passengers and requires 2 pilots to fly. Boeing offers a plane for $200 million that can seat 205 passengers and requires 3 pilots to fly. If United wants to fly the maximum amount of passengers at one time given their budget and pilot constraints, how many of each plane should United purchase? Use linear optimization.What is the objective function?
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Mark's company makes two games (Zeldor and Pekomon) using two machines (A and B). Each unit of Zeldor that is produced requires 25 minutes processing time on machine A and 35 minutes processing time on machine B. Each unit of Pekomon that is produced requires 32 minutes processing time on machine A and 29 minutes processing time on machine B. Available processing time on machine A is forecast to be 1,600 minutes and on machine B is forecast to be 3,045 minutes. If Zeldor can be sold at a price of 2,500 pesos per unit and Pekomon is 2,700 pesos per unit, a. What are the vertices of the constraints? (check all that apply) (32,25) (58, 25) (58, 35) (0, 105) (0, 50) (0,0) (50,0) (25,38) (58, 32) (35, 32) b. How much of each game should the company produce to maximize profit c. How much is the maximum profit?

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A 2 X 2 constant matrix A has an eigenvalue -3+4i. Determine if each of the following could be a solution of the linear system y' = Ay. (a) e -3t (b) et -3 cos (4t) - 2 sin(4t) ] 3 cos (4t) sin(4t) -2 cos(-3t) [2 co [2 cos(−3t) + sin(-3t) [Select] [Select]