(1 pt) Consider the following two systems. (а) —Зх — 5у -4x 3y -3 -2 (b) —Зх — 5у — 4х — Зу () Find the inverse of the (common) coefficient matrix of the two systems. А1 1 3 for system (a) and 2 (i) Find the solutions to the two systems by using the inverse, i.e. by evaluating A6 where b represents the right hand side (i.e. b -2 for system (b)) 3 Solution to system (a): Solution to...
1. Use Substitution or Elimination to solve for x and y. (Write your answer as an ordered pair.) 1 Use Substitution or Elimination to solve for x and y. (Write your answer as an ordered pair. x 2y 5 4х + 5у %3D 8 а. а. - х%3D 8у — 5 Зх + 6у %3D 0 b. Зх — 5у %3D —4 -15x25y = 20 2. Solve by graphing. Graphs must be correct for credit. x - 2y = 4...
pt) Consider the function f: R (-co, -6) defined by fu) 3 -9 еxp(Зх + 8) — 6. The inverse of f is given by the formula: f(x)=
Determine the Laplace transform (Y(s)) for the differential equation below: 2y () + Зу() — 32, у(0) — 0, у'(0) — 0, у" (0) — 0 У"(). Y(s) (32) (s^3 +2*s^2 +3s + 0) O Y(s) = (2) /(s^3 s^2 + 2s + 3) Y(s) (3*sA2 + 8"s^1 +15) / (s^3 + s^2 + 2s + 3) = Y(s) (32)/ (s2 2s3) +
(1 point) 5x2 — 5у, v %3D 4х + Зу, f(u, U) sin u cos v,u = Let z = = and put g(x, y) = (u(x, y), v(x, y). The derivative matrix D(f ° g)(x, y) (Leaving your answer in terms of u, v, x, y ) (1 point) Evaluate d r(g(t)) using the Chain Rule: r() %3D (ё. e*, -9), g(0) 3t 6 = rg() = dt g(u, v, w) and u(r, s), v(r, s), w(r, s). How...
LinearAlgebra02: Problem 3 Previous Problem List Next (1 point) Write a vector equation х+ that is equivalent to the system of equations: Тx — бу + 7z 6, 4х + бу + 4z -2, Зх + 5у — 6z -3.
I need some help with these We were unable to transcribe this image4. di Зу--2 cos(3t) dryco(2) dt2 6. 'y +10V cos(3t) dt2 4. di Зу--2 cos(3t) dryco(2) dt2 6. 'y +10V cos(3t) dt2
17 ONS AND INEQUALITIES 30. 7x – 2y = - 7 y 1 x 44. Зу – 5х = 15 У. 1 х ity 49. A young couple buys furniture for $2000, agreeing to pay $500 down and $100 at the end of each month until the entire debt is paid off. a. Express the amount P paid off in terms of the number m of monthly payments. b. Complete the following table. P 1 N 3 c. Choose an...
DIFFERENTIAL EQUATIONS 15) Find the general solution to the nonhomogeneous equations using the method of undetermined coefficients. (а) у" + 4у'—2у%3D 2х* - Зх + 6 (b) у"— у' + у-D2sin3x 3x (с) у" — 2у'—3у%3D 4х -5+6хe
I need help solving this DE by seperation of variables. dy хy + 2y —х — 2 ху — Зу + x -3 dx