The problem is in the definition. As per the "normal" definition, which comes from computer science, multitasking refers to doing two or more tasks simultaneously. The nurse isn't adjusting the patient's sheets and changing her drip simultaneously, he's doing them one after the other. His day is taken up by doing many tasks, one after the other very efficiently. Sometimes one task can be put on hold while he attends to another, then returned to, but that's not multitasking, it's task-switching.
The word "multitasking" has come out of the domain of computer science to refer to this kind of rapid task-switching. Almost everyone in this thread has used the word this way, but this change in definition makes the linked article pretty redundant, since it is referring to the former computer-scientific definition. Most people can walk and chew gum simultaneously, because they're autonomic functions and use different areas of the brain. Most people can't adjust sheets and change a drip simultaneously - mostly because each of those tasks requires two hands, and most people don't have four.