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Part of a $5000 prize was invested at 6%, while the remainder was invested at 8%. If the total interest received was $368, how much was invested at each rate?
The figure below shows the flow of traffic (in vehicles per hour) through a network of streets.a. Solve for the system of flow of traffic.b. Find the traffic flow when d=300.
it is Linear Systems Analysis class 1.7-8 For the systems described by the equations below, with the input (1) and output y(t), determine which of the systems are invertible and which are noninvertible. For the invertible systems, find the input-output relationship of the inverse system (a) y(t) = [ f(t)dr (b) y(t) = f(3-6) (c) y(t) = {"(t) n, integer (d) y(t) = cos(/(t))
Determine if the systems described by the following input and output equation are linear or non-linear 1) Y(n) = nX(n) .(2) Y(n) = X(n2) (3) Y(n) = X2(n) (4) Y(n) = Ax(n) + B. (5) Y(n) = ex(n)
Linear Time Invariant Systems 4] For each of the following continuous-time systems xt) is a real input. Determine whether the system is (1) stable, (2) causal, (3) linear and (4) time invariant (5% each): (a) T(x(t)] = sin(2π) x(t + 2%)-cos(2π) x(t-ro), where τ。> (b)T(x(t)] = x(4) (c) T(x(t)]Ξ14- AxzQ A is a complex constant.
Solving Systems of Linear Equations Using Linear Transformations In problems 1-5 find a basis for the solution set of the homogeneous linear systems. 2. X1 + x2 + x3 = 0 X1 – X2 – X3 = 0 3. x1 + 3x2 + x3 + x4 = 0 2xı – 2x2 + x3 + 2x4 = 0 x1 – 5x2 + x4 = 0 X1 + 2x2 – 2x3 + x4 = 0 X1 – 2x2 + 2x3 + x4...
Please a- c for non linear system b 3. For each of the given non-linear systems, (a) find the equilibrium points, (b) near each equilibrium point, sketch the phase portrait of the linearized system, (c) use the information in (a) and (b) to sketch the phase portrait of the system: x' = - 4x + 4xy Sx = 2x – 2x² + 5xy ly=2y-y² – ry ly' = y - 2y2 + 2xy
Linear Algebra 1) For each of the following linear systems of equations I. 2x, x 3 x,-4x2 = 4 3x, +2x-5 2x, + 3x2-6x3 x 3x2 + 2x 2 -x,-4x2 + 6x3 =-1 III. 5x1 + 7x2=-5 8x1-5x2 = 3 IV, 2 a. Identify corresponding linear algebra nomenclature (4x -b) b. Calculate the inverse of the coefficient matrix (4) for each system Calculate each by hand and check your results with an alternate hand calculation or alternatively through an suitable...