> > I have two questions concerning the current homework assignment. The first >concerns question 17. Do I have to prove that one of those gives the >x-intercept and then prove the other is equal to it OR can I assume one is >correct (I think the first is standard form) and then just show the two given >are equal? > I think that for #17 you're to show that they're also correct! Deduce one from the line equation, and then show that the other is equivalent (e.g.). > My other question is for number 26. The wording is very confusing for the >second sentence starting with "Suppose f". I am assume that it really doesn't >have much to do with the problem other than to define what f~(x) is. Anyway, >I am not sure I understand the point of this problem. Can you explain why I >need to use the MVT for part (a)? Using the MVT to calculate the absolute >error doesn't make any sense to me at the moment. > For #26, they shouldn't have bothered defining f with the tilda cap in the first place. Their point is that when we think that we're calculating f(x0), we're actually computing f(x0-e), so we are interested in the difference |f(x0)-f(x0-e)| and we can use the derivative to get a handle on just how big that can be..... That's the point of the problem. Does that help?