This bifurcation is called a saddle-node bifurcation. In it, a pair of hyperbolic equilibria, one stable and one unstable, coalesce at the bifurcation point, annihilate each other and disappear.
<h3>What is a bifurcation equilibria?</h3>
- The mathematical study of changes in a family of curves' qualitative or topological structure, such as the integral curves of a family of vector fields or the solutions to a family of differential equations, is known as bifurcation theory.
- A bifurcation happens when a tiny, gradual change in a system's parameter values (the bifurcation parameters) results in an abrupt, "qualitative," or topological change in the system's behavior.
- This term is most frequently used to refer to the mathematical study of dynamical systems.
- Both continuous systems (represented by ordinary, delay, or partial differential equations) and discrete systems can experience bifurcations (described by maps).
To learn more about bifurcation equilibria, refer to
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Answer
D. The average speed is 2.5 meters/second, and the average velocity is 0 meters/second.
The difference between speed and velocity is that, speed is a scalar quantity while velocity is a vector quantity.
Average speed = total distance/Total time
= (150 + 150) / (2×60)
= 300/120
= 2.5 m/s
Average velocity = Total displacement/ Total time
= (150 + -150) / (2 × 60)
= 0/120
= 0 m/s
Explanation:
Amplitude, in physics, the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path. ... Waves are generated by vibrating sources, their amplitude being proportional to the amplitude of the source.
D, I believe would be the first minus the second vector.
To solve this I named the first vector as A and the second as B.
So... vector A - B = resultant
or A + (-B)
A negative indicates a direction of a vector so if we flip the direction the other way we have the first vector (A) pointing vertically upwards and then vector B pointing to the west.
Now we have to use the head to tail method, meaning that the head of the first vector has to connect with the tail of the other vector added.
So we should have something like this
(-B) < - - - - ^
|
| (A)
|
To add these two vectors, technically A - B, draw a line from the tail of A to the head of -B which would look like image D.
Hope this helped!
It's a plain, not a lever
