MATH 3B Midterm: Math 3B Exam 7
Document Summary
This test is closed book and closed notes. For full credit show all of your work (legibly!). Each problem is worth 12 points: (a) find the second degree (n = 2) taylor polynomial for f (x) = x + 9 around the point x = 0. We have f (x) = (x + 9)1/2 f (x) = 1 f (x) = 1. 4 (x + 9) 3/2 so so so f (0) = 91/2 = 3, f (0) = 1. P2(x) = f (0) + f (0)x + f (0) 216 x2. (b) using the answer in part (a) give an approximation for 10. First we note that 10 = f (1). So putting 1 into the polynomial we found in part (a) we have. 216 (on a side note 10 = 3. 16227766 . while 683 approximation is pretty good. ) 216 = 3. 16203704 . and so the: find z e.
