Since the 1970s, they’ve known how to find shortest paths essentially as fast as theoretically possible, assuming all weights are positive numbers. But on some graphs weights can be negative — ...

Save guides, add subjects and pick up where you left off with your BBC account. Plot points with coordinates where \(x\) and \(y\) are equal. Three points are sufficient, but more can be plotted.

Save guides, add subjects and pick up where you left off with your BBC account. The gradient of a velocity-time graph at a particular time gives the acceleration of the object at that time.