No they are not. In fact, the only way that the two are related is that under certain circumstances, one is the mathematical opposite of the other.
Yes, Rate of change is slope
integration
It is a rate of change that is not the same at all points - in time or space.
Unit rate, slope, and rate of change are different names for the same thing. Unit rates and slopes (if they are constant) are the same thing as a constant rate of change.
The rate of change is the same as the slope.
No, velocity and acceleration are not the same. Velocity is the rate of change of an object's position, while acceleration is the rate of change of an object's velocity.
Differential equations are equations involve rates of change (differentials). These rates of change are usually shown in the equations as a variable prefixed by a d (e.g. dx for the rate of change of the variable x). The same notation is also used in integration, but the integrand symbol is also added in such equations.
The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.
The 'rate of change' applies to the flux itself, and has nothing to do with it linking the primary and secondary windings. There is only one flux, so of course the rate of change is 'the same'.
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
Yes. Different code rates change the number of bits conveyed by each symbol. Therefore, the bit rate will change.
The 'rate of change' applies to the flux itself, and has nothing to do with it linking the primary and secondary windings. There is only one flux, so of course the rate of change is 'the same'.