MATH 111 Final: MATH 111 Amherst S12M111FinalAbbyJohnson

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 111
• Professor: All

Document Summary

Read this first: this is a closed-book examination. No books, notes, calculators, cell phones, communication devices of any sort, webpages, or other aids are permitted: please read each question carefully. Pay careful attention to mathematical grammar: answers must be clearly labeled in the spaces provided after each question, the exam consists of 10 questions which total to 200 points. 2015 final exam: evaluate the following limits. 10 + x2 x x 2 x2 3x + 2. 2 x + 3 x + 1: compute the following derivatives. Do not simplify your answers. (a) [6 points] d dx(cid:0)x2 + x x + 2 2(cid:1). (b) [6 points] suppose g(t) is a function satisfying g(1) = 16 and g (1) = 8. Compute f (1). f (t) = t2pg(t). (c) [6 points] (cid:16) (x2 + x)3(7x 1)3/2(cid:17) x3(cid:19) dx2 (cid:18)x3 + (d) [6 points] compute d2.