APPM 1345 Midterm: appm134spring2013exam1
Document Summary
On the front of your bluebook, please write: a grading key, your name, and instructor"s name (chang or rubio). This exam is worth 100 points and has 6 questions. Answers with no justi cation will receive no points. Please begin each problem on a new page. On what intervals is y increasing? decreasing? (d) find the local maximum and minimum values of y, if any. 2 6 x (e) the second derivative is y = (f) find the in ection points of y, if any. On what intervals is y concave up? concave down? (g) sketch a graph of y. Estimate the value of t where the maximum value of f (t) occurs by applying newton"s method to f (t). Using t1 = 0 as an initial approximation, calculate t2. (b) use the second derivative test to check the concavity of f at t2.
