Math 116 — Midterm ExamOctober 10, 2016UMID:Initials:Instructor:Section:1.Do not open this exam until you are told to do so.2.Do not write your name anywhere on this exam.3.This exam has 10 pages including this cover. There are 9 problems. Note that the problemsare not of equal difficulty, so you may want to skip over and return to a problem on whichyou are stuck.4.Do not separate the pages of this exam. If they do become separated, write your UMID onevery page and point this out to your instructor when you hand in the exam.5.Please read the instructions for each individual problem carefully. One of the skills beingtested on this exam is your ability to interpret mathematical questions, so instructors willnot answer questions about exam problems during the exam.6.Show an appropriate amount of work (including appropriate explanation) for each problemso that graders can see not only your answer, but also how you obtained it. Include units inyour answer where that is appropriate.7.You may use a TI-84, TI-89, TI-Nspire or other approved calculator.However, you mustshow work for any calculation which we have learned how to do in this course. You are alsoallowed two sides of a 300×500note card.8.If you use graphs or tables to find an answer, be sure to include an explanation and sketchof the graph, and to write out the entries of the table that you use.9.Turn off all cell phones, pagers, and smartwatches, and remove all headphones.ProblemPointsScore113216311415576127686914Total100

Math 116 / Midterm(October 10, 2016)DO NOT WRITE YOUR NAME ON THIS PAGEpage 21. [13 points]Suppose thatfis a twice-differentiable, function that satisfiesf(0) = 1f(2) = 2f(4) = 4f0(2) = 3Z20f(x)dx= 5Z42f(x)dx= 7.Evaluate the following integrals.