Consider the system of equations: x' = Ax where x = x (t) = and A = x₁ (t) x₂ (t) x3 (t) x4 (t) 10 0 0 0 0 -3 0 03 0 0 000 4 Find all solutions for this system of ODES. Include all steps and justify every step.

Solve the system of differential equations. x1 = 3x₁1x2 (x₂² = 1x₁ + 5x2 18 x₁ (0) = 10, x₂(0) x₁ (t) = x₂(t) = Question Help: Message instructor Submit Question =

Advertising Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N = 80 x - x². Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,594. Round to the nearest integer. $ LA

Extraneous solutions are defined as a solution that emerges from the process of solving the problem but is not a valid solution to the problem (i.e excluded values to the domain). What type of problems have extraneous solutions? (Select all that apply.) Quadratic Equation sRational Equations  Linear Equations Radical Equations