Find the osculating circle at the given points.
I really have no idea where to even start this one. My professor has not gone over anything about osculating circles
If i could get any tips on how to do this one that would be great
The "osculating circle" to the graph of a fuction, f, at a given point, is the circle that passes thorugh that point, whose center lies on the normal line to that graph at that point, and whose radius is 1 over the curvature.
So the first thing you want to do is to identify the normal vector to the curve and find the curvature at that point.
By the way, you might find it intersting to look up "osculate" in a dictionary.