Math 100 Spring 2021 Math 100 Final Exam Brown University

Spring 2021 Math100 Final ExamBrown University You have 150 minutes to complete this exam. If you have an accommodation through SAS, you areentitled to extra time as documented in your letter. You must upload your solution toGradescopewithin 20 minutes after you click \Submit Quiz" oncanvas. For example, if you click on \Take the Quiz" at 10 am, you mustclick on\Submit Quiz"before 12:30 pm of the same day and upload your solution to Gradescope by 12:50 pm of the sameday. In order to receive full credit,you must show your work; as usual in this course, your nal answeris less important than the reasoning you used to reach it. Correct answers without work will receivelittle or no credit. There are seven questions on this exam, and 7(d) is a bonus question! (+2 point if you answer itcorrectly.)Good luck!1.(8 points) Let Dbe the region bounded by y= (x 1)2+ 1 and the x-axis. (a)Write a general Riemann sum (withnslices) that approximates the areaofD. Be sure toexplain clearly how you are slicing. Dene the notation you use; that is, if you use things like x or xk oryk, you must write formulas to tell us exactly what you mean by them.(b) Set up, do