If I have a linear system with one negative eigenvalue and another eigenvalue of zero, what does that mean for the stability of the equilibrium. Also, then if I have a nonlinear system with one negative eigenvalue and another eigenvalue of zero, what does it mean for its equilibrium stability. What it be the same for both nonlinear and linear?

If I have a linear system with one negative eigenvalue and another eigenvalue of zero, what does that mean for the stability of the equilibrium. Also, then if I have a nonlinear system with one negati...
please explain how to see if linear or nonlinear. i dont
understand why its both here. thank you!
In each of Problems through 4.verjfy that (0,0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0...0) by examining the corresponding linear system, 1. dx/dt = x -y dyldt= x - 2y + x? ANSWER lincar and nonlinear saddle point, unstable
What does adding a negative real zero to a second-order transfer function do to the system speed of response and relative stability? What does adding a negative real pole to a second-order transfer function do to the system speed of response and relative stability?
If you have a non-zero angular acceleration, does that mean that you must also have a non-zero net torque? And how do the net torque vector and the angular acceleration vector compare, in terms of direction?
I need a good explanation about Torques and Equilibrium a) How does torque relate to force? b) If all torques add to zero, does this imply that all forces also add to zero? c) If all forces add to zero, does this imply that all torques also add to zero? d) If both all torques and all forces add to zero, does this necessarily mean that an object is in static equilibrium? Explain. I will appreciate you hard work.
What does equilibrium shifting mean in terms of the direction of the reaction? Why do we still have the same equilibrium after the stress is introduced to a system?
What does a zero, negative and positive line-of-sight velocity dispersion for galaxies mean (physical interpretation)?
A triatomic molecule can have a linear configuration, as does
CO2 (Figure a), or it can be nonlinear, like
H2O (Figure b). Suppose the temperature of a gas of
triatomic molecules is sufficiently low that vibrational motion is
negligible.
(a) What is the molar specific heat at constant volume,
expressed as a multiple of the universal gas constant (R)
if the molecules are linear?
Eint/nT =
(b) What is the molar specific heat at constant volume, expressed
as a multiple...
Problem 2 1. What are the equilibrium solutions of the following linear system? 11-15 10 2. For what values of a does the system have a unique equilibrium solution? 02
I don't understand what this questions means?!?! What does it mean there is genetic variation for a specific behavior? I thought it was talking about how a specific gene can affect specific behaviors? Is that not the same with diseases? How a specific deletion or misense can determine Sickle Cell? How is it not the same with behaviors? That doesn't make sense. What does it mean "genetic variation for a specific behavior"? Also what does it mean "present in strains...
One. What does it mean for a graph to have chromatic number
1?
One. What does it mean for a graph to have chromatic number 1? Bipartite. What is the chromatic number of K2,3? of K7,4? of Km,n?