integrate the given function using substitution #maths #python #rollestheorem #matheolympiad #putnam

In this exercise, we will see that the distance formula is very important to us. In fact assume that we have 2 moving objects 1 is moving on the parabola and 1 is moving on the line. We want to find the distance between the 2. So in this case the distance formula can help us a lot by taking the square root. And after that we compute this the distance between the axis and the distance between the Y and we Square both of them and we add them to get the distance for our case. We want to find the distance . This formula is very useful specially when we have X for the first moving person and X for the moving second moving person are the same that means this will help us to conclude that the the the the X1 minus X2 is 0 and therefore we can only deal with the difference between the 2, uh equations. This stands formula is very useful specially when we want to find how far are 2 objects from the other we can use it to find the velocity sometimes because we know that the velocity is defined as the distance over T. But this is

This is the formula that we're going to use to compute the the derivative and the slope formula for the next part in this video. But for now, we just focusing on graphing this distance and see what it has its minimum.

This problem can be useful for the teachers who are doing the Olympia or the AMC math or who are trying to get their certification for the practice math 1 or practice math 2 this problem is very useful. Especially when we are trying to find the range and the domain of definition for this function. It can be a great way to teach the kids how to use the distance formula and to get profit from that.
#python #olympiad #maths #ap #tennis #calculus #c #java #mathematics