APPM 1345 Midterm: appm134spring2015exam1_sol

• School: CU-Boulder
• Department: Applied Math
• Course: APPM 1345
• Professor: All

Document Summary

300 terms (for this sum, write your answer in the form mn where m, n are integers. ) 100 (a) s1 = (b) use the formula n. = 2102 : (30 points) consider the function y = x + y = Its rst and second derivatives are y = 1 . 8 x3 and (a) find the domain of the function. (b) find the x- and y-intercepts of the function, if any. (c) find the vertical and slant asymptotes of y, if any. Clearly label any intercepts, asymptotes, local extrema, and in ection points. Solution: (a) the domain is ( , 0) (0, ) . (b) there are no y-intercepts since the function is unde ned when x = 0. Solve y = 0 to nd the x-intercept: x + 3 4 1. 6. (c) the function has a vertical asymptote at x = 0 : lim x 0+(cid:18)x +