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So, remote control dune buggy the Mean Value Theorem tells us that there is a number \(x d c\) such that, \ Now, because \(a x d c\) we know that \(f''\left( d \right) 0\) and we also know that \(c x 0\) so we then get that, \ However, we also assumed that \(f'\left( c \right) 0\) and so we have, \ Or, in other words to the left of \(x c\) the function is increasing.
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Let's now turn things around and let \(x\) be any number such that \(c x b\) and use the Mean Value Theorem on \(\left\) and the first derivative.
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The Mean Value Theorem tells us that there is a number \(c d x\) such that, \ Now, because \(c d x b\) we know that \(f''\left( d \right) 0\) and we also know that \(x c 0\) so we then get that, \ Again, use the fact that we also assumed that \(f'\left( c \right) 0\) to get, \ We now know that to the right of \(x c\) the function is decreasing.
Credit: Gabriel LaFreniere Repelling Force Two electrons of same wave phase increasing amplitude between particles Credit: Gabriel LaFreniere Attractive Force Electron and positron of opposite wave phase decreasing amplitude between particles Why Particle Group Count (Q).
More often, it is a group of particles separated at distance that are being calculated for their force, typically based on size, and based on the properties of: Charge calculating forces of particles as seen in the electric force and magnetic force Mass calculating forces of objects formed from atoms (e.
people, cars, planets) as seen in the gravitational force and Newton's laws of motion What's common in these variables for charge and mass.
These variables are simply measurements of particles with different wave properties and different units, as explained in further detail here.
Note: Particle count (Q) is similar best rc car in the world to the variable used for Coulomb's law (q), as it represents the number of particles.
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While displacement is can be either positive, negative or zero depending upon the direction of movement.
Another important factor that differentiates the two is that value concerning distance will always be either equal or more than displacement.
Conclusion Thus from this discussion, we can conclude that the calculated displacement may or may not be equal to the length of the path actually being traversed by the moving object.
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