MATH 140 Midterm: MATH140 JOHNSON-G FALL2007 0101 MID EXAM 3

• School: University of Maryland
• Department: Mathematics
• Course: MATH 140
• Professor: All

Document Summary

Your solutions should read nicely and be legible. They should not be composed of regurgitated fragments of your mind scattered about the page: let f (x) = (2x 2)2 (x 3)2 . Be sure to label all x and y intercepts as well as all horizontal and vertical asymptotes. 2. (a) find all functions f (x) satisfying f (x) = 2ex + sec2(x) such that f (0) = 5 (b) determine lim x ln(ex. 3. (a) suppose you are given a radioactive substance. What is the half life of the substance? (your answer may include logs) (b) find the 2 real numbers whose di erence is 12 and whose product is as small as possible. Justify your answer using the 1st or 2nd derivative test: carefully state the mean value theorem. Include a picture depicting what the mean value theorem says.