Problem 4. Solve the following system of differential equation using Laplace Transform: x'=4x-2y. y' = x + y ; x(0) = 3, y(0) = 2
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- 1. Determine the magnitude of the vector sum V = V₁ + V₂ and the angle x which V makes with the positive x-axis. Complete both graphical and algebraic solutions. Assume a = 3, b = 5, V₁ = 11 units, V₂ = 15 units, and Ⓒ = 50°. V₁ a1.1.2 - Show all work please.Evaluate the following integrals that arise when find- ing the Fourier series expansion of x over the interval -LTranslate the given problem into a second - degree polynomial in x using Lagrange interpolating formula. X 5 6 9 12 y 13 14 Then find P'(x) and P'(x)Solve for the limit of the following functions without using calculator and approximate substitutionfind the Fourier series represen- tation of the given function over the indicated fundamental interval and use a computer to plot the indicated partial sum S,(x) over the fundamental interval. f(x) = { 0, sinx, 0SEE MORE QUESTIONSRecommended textbooks for youStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage LearningStructural Analysis (10th Edition)Civil EngineeringISBN:9780134610672Author:Russell C. HibbelerPublisher:PEARSONPrinciples of Foundation Engineering (MindTap Cou…Civil EngineeringISBN:9781337705028Author:Braja M. Das, Nagaratnam SivakuganPublisher:Cengage LearningFundamentals of Structural AnalysisCivil EngineeringISBN:9780073398006Author:Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel LanningPublisher:McGraw-Hill EducationTraffic and Highway EngineeringCivil EngineeringISBN:9781305156241Author:Garber, Nicholas J.Publisher:Cengage Learning