Math 115 umich

Math 115 / Exam 2 (March 21, 2023) page 4 3.[9 points] Throughout this problem, let f(x) = sinx+cosx. For reference, you may use the graphs of sine and cosine given below, but note that neither of these is a graph of f, since fis their sum. π/4 π/2 3π/4 π 5π/4 3π/2 7π/4 2π −1 −0.5 0.5 1 y= sinx y= cosx x y

University of Michigan Department of Mathematics Winter, 2002 Math 115 Exam 3 Problem 2 (rectangle) Solution.Math 115 / Final (December 17, 2013) page 2. 1. [11 points] At a recent UM football game, a football scientist was measuring the excitement density, E(x), in cheers per foot, in a one hundred foot row of the football stadium where x is The best way to get good, fast help for Math 115 is to go to the Math Lab during the times one or more Math 115 instructors are in the Math Lab and specifically ask to see a Math 115 instructor. To find those times, see the Math Lab tutoring schedule. The Math Lab does offer some help with group homework, but their policy is to give only broad ... Math 115 - Winter 2020. This webpage is used for Math 115 Section 024 in University of Michigan during the winter semester in 2020 ... First-Day Handout: Meeting Times: THF 10:00-11:30 am: Classroom: Online: Instructor: Zhan Jiang: Email: zoeng "at" umich "dot" edu: Office: 4068 East Hall: Office Hour: Tue. Wed. Fri. 2-3 pm Online: Useful Links ...Solution: The closest point in the table to v = 64 is v = 60, so this is the appropriate choice for the tangent line approximation. Based on the table, the line will go through (60 84) and have slope 1 8, so it must be L(v) = 84 + 1 8(v − 60). Plugging in 64 for v, we get an estimate of 91 2 seconds. Answer:We would like to show you a description here but the site won’t allow us.

Math 115 / Exam 2 (November 14, 2016) ... University of Michigan Department of Mathematics Winter, 2003 Math 115 Exam 3 Problem 10 (wire) Math 115 / Final (December 17, 2019) page 6 6. [8 points] A garden store plans to build a large rectangular sign on the interior wall at one end of their green-University of Michigan Department of Mathematics Winter, 2012 Math 115 Exam 2 Problem 5 Math 115 / Exam 2 (November 13, 2012) page 5 4.[13 points] Let f(x) = e sinMath 115 / Exam 2 (November 7, 2022) page 4 3.[8 points] At a certain location in Lake Michigan, scientists are measuring water temperature. Let W(d) be the temperature, in degrees Fahrenheit ( F), of the water at a depth of d meters (m). Shown below is a table of values of W(d) and its derivative W0(d), which are both de ned and di erentiable Math 115-101 { Spring 2020 Instructor: Zhan Jiang Email: [email protected] O ce: Zoom Class schedule: O ce Hours: - 8:00-10:00 am. - Tue. 1-3 pm - T/W/Th/F - Wed. 1-3 pm (in SLC) Textbook: Calculus: Single Variable by Hughes-Hallett, Gleason, et al., 7th Edition, published by John Wiley and Sons. ISBN 978-111-942626-4. We would like to show you a description here but the site won’t allow us.Whether you’re a teacher in a school district, a parent of preschool or homeschooled children or just someone who loves to learn, you know the secret to learning anything — particu...Math 115 / Exam 2 (November 6, 2023) page 3 2.[9 points] A company is designing a new line of suitcases with height a, length b, and width c, all in inches. The dimensions of the new suitcases need to satisfy the constraints b = 2c and a+ b+ c = 45. What are the dimensions of such a suitcase with the largest possible Math Lab: Free tutoring from the Mathematics Department in East Hall B860. Hours: Monday through Thursday 11:00 am { 4:00 pm and 7:00 pm { 10:00 pm Friday 11:00 am { 4:00 pm Sunday 7:00 pm { 10:00 pm Other: This course will require you to interact frequently with your peers. Conduct yourself with courtesy and respect for others.

We would like to show you a description here but the site won’t allow us. We would like to show you a description here but the site won’t allow us. 5. 15. 20 of 20. Quiz yourself with questions and answers for Math 115 Umich syllabus quiz, so you can be ready for test day. Explore quizzes and practice tests created by teachers and students or create one from your course material.Winter, 2019 Math 115 Exam 1 Problem 1 (race) do not write your name on this exam. (x + 1 8)(x + 2 1) 4. [10 points] Consider the function f defined by f(x) = . (2x + 1 8)(3x − 6 9)(x + 2 1) You do not have to show your work/reasoning on this problem. However, any work that you do show may be considered for partial credit.

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Math 115 - Spring 2020. This webpage is used for Math 115 Section 101 in University of Michigan during the spring semester in 2020. Basic Information. Course Title: Calculus I: Syllabus: Syllabus: Meeting Times: TWHF 8:00-10:00 am: Classroom: Online: Instructor: Zhan Jiang: Email: zoeng "at" umich "dot" edu: Office Hour: Tue. Wed. 1-3 pm Online ...Math 115 / Final (December 17, 2013) page 2. 1. [11 points] At a recent UM football game, a football scientist was measuring the excitement density, E(x), in cheers per foot, in a one hundred foot row of the football stadium where x isMath 115 / Exam 2 (November 8, 2021) page 6 c.[4 points] Find the x-coordinates of all global minimum(s) and global maximum(s) of r(x) on the interval (1 ;1). If there are none …hours: monday 1-3, Tuesday 11-12 (math lab), Wednesday 10-12 in our usual room, thursday by request (email me), and Friday 1-3 in 3088 East Hall. Also don’t miss ALEX LEAF’s review session Wednesday 12-1:30 in 4096 East Hall. Friday April 18: We did two different (hard) integral problems from old exams. Both are We would like to show you a description here but the site won’t allow us. Math 115 | First Midterm | October 5, 2020 1.This exam has 7 pages including this cover. There are 10 problems. Note that the problems are not of equal di culty, so you may want to skip over and return to a problem on which you are stuck. 2.Please read the instructions for each individual problem carefully. One of the skills being tested

Problems to study for Math 115 Exam 1. Here is a breakdown of Math 115 Exam 1 by topic. Each problem reference is a link, so you can click on it to see the problem. Math 215: Entrance Gateway : Has one page with seven problems, and a 30 minute time limit; and requires at least a 6/7 for credit. Math 214, 217 and 296: Matrix Operations Gateway: Has one page with eight problems, and a 20 minute time limit; it requires a 7/8 for credit. Math 217 and 296: Diagonalization Gateway has one page with five problems ...University of Michigan MATH 115 Past Tests 2021. 16 pages 2021/2022 100% (3) 2021/2022 100% (3) Save. Group Problems 1 Solution Sketches. 9 pages 2023/2024 None. 2023 ...ECON 101 and 102 and MATH 115, each completed with grade at least C. One of the Honors alternatives to MATH 115 may be substituted for MATH 115. Advanced placement credits in MATH 121 may be substituted for MATH 115. Credits in MATH 120 alone do not satisfy the mathematics prerequisite for an economics major or minor.We would like to show you a description here but the site won’t allow us.Math 115 / Exam 2 (March 22, 2016) page 2 1.[7 points] Gertrude wants to enclose a rectangular region in her backyard. She wants to use high fencing (thick line), which costs $200 per foot, for one side of the rectangle. For the remaining three sides, she wants to use normal fencing (thin line), which costs $75 per foot.Math 115 / Exam 1 (October 3, 2022) page 3 2.[6 points] You are an intern at A&B, Alice & Bob Inc. It’s the year 2055, and you’re headed to Mars to help the newest A&B store, which will open there on January 1st, 2056. a.[3 points] The daily sales of space suits, in thousands, at the new store dEarth days after it300-Level Math Courses. 400-Level Math Courses. 500-Level Math Courses. Independent Study Courses. Mathematics. 2074 East Hall. 530 Church Street. Ann Arbor, MI 48109-1043. 734.764.0335. Math 115 / Final (December 14, 2017) page 4 3.[8 points] A group of biologists is studying the population of trout in a lake. Let k(t) be the rate at which the population of trout changes, in thousands of trout per month, tmonths after the biologists started their study, and let P(t) be the population of trout, in thousands, tmonths after the study Math Lab: Free tutoring from the Mathematics Department in East Hall B860. Hours: Monday through Thursday 11:00 am { 4:00 pm and 7:00 pm { 10:00 pm Friday 11:00 am { 4:00 pm Sunday 7:00 pm { 10:00 pm Grading Policy: All sections of Math 115 use the same grading guidelines to standardize the evaluation process. Waitlist Policy. When a course becomes fully enrolled, a waitlist is created and students attempting to register for a particular course will be placed on the waitlist. By careful management of enrollments, the Department of Mathematics makes every effort to accommodate students registering for Math 105, 115, 116, 215, and 216. Expectations of Tutors and Scholars. Tutors and scholars will commit to a regular schedule of meeting at least weekly for one hour per session. Tutoring will occur in one-on-one sessions. Tutor and scholar must meet in person or through an approved virtual platform (Google Meet or Zoom) Sessions should occur at a reasonable time for both tutor ...

LSA - Math & Sym Analysis (MSA) MATH 115 at the University of Michigan (U of M) in Ann Arbor, Michigan. Calculus I --- The course presents the concepts of calculus from four points of view: geometric (graphs), numeric (tables), symbolic (formulas), and verbal descriptions. Students will develop their reading, writing, and questioning skills, as ...

The best use of old exams is. to familiarize yourself with the typical format for a Math 115 exam, which usually consists of some mixture of short-answer questions, fill-in-the-blank exercises, longer exercises with work to be shown, and essay questions; and. to test your readiness to take the exam after you believe you have prepared enough.hours: monday 1-3, Tuesday 11-12 (math lab), Wednesday 10-12 in our usual room, thursday by request (email me), and Friday 1-3 in 3088 East Hall. Also don’t miss ALEX LEAF’s review session Wednesday 12-1:30 in 4096 East Hall. Friday April 18: We did two different (hard) integral problems from old exams. Both are Math 115 Masteries Last modified: Tue May 7 9:25:00 EDT 2024 Comments to math-itc(at)umich(dot)edu ©2004-09 Gavin LaRose, UM Math Dept/Regents of UMich Exam Shops. Here are the exam shops and problems pages for all the exams in Math 105, 115, 116, and 216. The "Problems" pages are good if you want to do one problem at a …Math 115 — Practice for Exam 3 Generated September 7, 2017 Name: Instructor: Section Number: 1. This exam has 4 questions. Note that the problems are not of equal difficulty, so you may want to skip ... University of Michigan Department of Mathematics Winter, 2010 Math 115 Exam 3 Problem 7. Math 115 / Final (April 19, 2012) page 3 Math 115 Masteries Last modified: Tue May 7 9:25:00 EDT 2024 Comments to math-itc(at)umich(dot)edu ©2004-09 Gavin LaRose, UM Math Dept/Regents of UMich Applied Honors Calculus Sequence. (MATH 156-285-286): Applied Honors Calculus II (MATH 156) is designed for engineering and science majors who received a score of 4 or 5 on the AP exam (AB or BC). MATH 156 is an alternative to MATH 116 with more emphasis on science applications and theory. The sequence continues with courses in multivariable ...Problems to study for Math 115 Exam 1. Here is a breakdown of Math 115 Exam 1 by topic. Each problem reference is a link, so you can click on it to see the problem.UM Math 115 On-Line HW Last Modified: Tue Jan 9 17:15:00 EST 2024 Comments to: math-itc(at)umich(dot)edu ©2006-09 Gavin LaRose, UM Math Dept/Regents of UMich ...

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University of Michigan Department of Mathematics Fall, 2016 Math 115 Exam 3 Problem 5 Solution Math 115 / Final (December 17, 2015) page 2 1.[12points] Recallthatafunctionhisoddifh(−x)=−h(x)forallx.Math 115 / Final (December 17, 2015) page 10 10. [8 points] Gen is setting up a business selling hot chocolate in Srebmun Foyoj and, due to local ... University of Michigan Department of Mathematics Fall, 2015 Math 115 Exam 3 Problem 10 (hot chocolate) Solution. Math 115 / Final (December 14, 2022) page 10 7. [9 points] Consider the family …LSA - Math & Sym Analysis (MSA) MATH 115 at the University of Michigan (U of M) in Ann Arbor, Michigan. Calculus I --- The course presents the concepts of calculus from four points of view: geometric (graphs), numeric (tables), symbolic (formulas), and verbal descriptions. Students will develop their reading, writing, and questioning skills, as ...Total 100. Math 115 / Final (April 26, 2019) page 2. 1.[13 points] A portion of the graph of the function k(x) is shown to the right. Note that: k(x) consists of a quarter circle on 1 x<1 k(x) is piecewise linear on 1 <x 4 k(x) =1 2. (x 4)2+2 on the interval 4 x 6 the area of the shaded region is8 3. Math 115 / Exam 2 (March 22, 2016) page 2 1.[7 points] Gertrude wants to enclose a rectangular region in her backyard. She wants to use high fencing (thick line), which costs $200 per foot, for one side of the rectangle. For the remaining three sides, she wants to use normal fencing (thin line), which costs $75 per foot. textbook listed above, which is all that we need in Math 115. Buy this one if you intend to take only Calc 1. 3) Calculus, by Stewart, UM-Dearborn edition. For the purposes of the Calculus sequence at UM-Dearborn, this edition coincides with option 1). This textbook can be purchased from the university bookstore. Math 115 / Final (ONLINE, April 2020) 4.[11 points] A stalagmite is a rock formation that rises from the oor of a cave, while a stalactite is a rock formation that hangs from the cave’s ceiling. Throughout this problem, be sure your work is clear. a.[6 points] A certain stalagmite, in the shape of a cone as shown below at left, is growing both Math 115 - Spring 2020. This webpage is used for Math 115 Section 101 in University of Michigan during the spring semester in 2020. ... zoeng "at" umich "dot" edu:Math 115 / Exam 1 (October 3, 2022) page 3 2.[6 points] You are an intern at A&B, Alice & Bob Inc. It’s the year 2055, and you’re headed to Mars to help the newest A&B store, which will open there on January 1st, 2056. a.[3 points] The daily sales of space suits, in thousands, at the new store dEarth days after itMath 115 / Final (December 14, 2017) page 4 3.[8 points] A group of biologists is studying the population of trout in a lake. Let k(t) be the rate at which the population of trout changes, in thousands of trout per month, tmonths after the biologists started their study, and let P(t) be the population of trout, in thousands, tmonths after the studyMath 115 / Final (April 23, 2010) page 8 7. [10 points] Suppose that f is an even function. A portion of f is graphed below. f(x) 2 5 x The area of the shaded region between x = 0 and x = 2 (with vertical stripes) is 3 units, andNorse Atlantic is offering fares as low as $115 one-way to Europe from the U.S. cities of New York, Orlando, Fort Lauderdale and Los Angeles. Act quickly because supply is limited.... ….

Math 115 / Exam 2 (March 22, 2016) page 3 2. [12 points] ... University of Michigan Department of Mathematics Winter, 2016 Math 115 Exam 2 Problem 2 Solution. Title ... Mathematics 115 and 116 or one of the honors Math sequences Chemistry 130 and 125/126, or, for some, 130, 210, and 211 Engineering 100 (Any course satisfying the First Year Writing Requirement (FYWR) for LSA is an acceptable substitution for ENGR 100 for transfer students only . University of Michigan Department of Mathematics Fall, 2013 Math 115 Exam 3 Problem 8 (basketball laps) Solution Math 115 / Final (December 17, 2013) page 11 8. Math 115 - Winter 2020. This webpage is used for Math 115 Section 024 in University of Michigan during the winter semester in 2020 ... First-Day Handout: Meeting Times: THF 10:00-11:30 am: Classroom: Online: Instructor: Zhan Jiang: Email: zoeng "at" umich "dot" edu: Office: 4068 East Hall: Office Hour: Tue. Wed. Fri. 2-3 pm Online: Useful Links ...Math 115 / Exam 2 (November 14, 2016) ... University of Michigan Department of Mathematics Winter, 2003 Math 115 Exam 3 Problem 10 (wire) Math 115 / Final (December 17, 2019) page 6 6. [8 points] A garden store plans to build a large rectangular sign on the interior wall at one end of their green-This web page contains the solutions to the exam problems for Math 115, a calculus course at the University of Michigan. The problems involve differentiation, integration, and …Math 115 Calculus I. Math 115 Calculus I Course Outline - Section 003 - Mon 11:00-11:50, TuTh 11:00-12:15 Course Outline - Section 005 - Mon 1:00-1:50, TuTh 12:30-1:45 YourGrade Assignments Exams Notes Parent Directory.The best way to get good, fast help for Math 115 is to go to the Math Lab during the times one or more Math 115 instructors are in the Math Lab and specifically ask to see a Math 115 instructor. To find those times, see the Math Lab tutoring schedule. The Math Lab does offer some help with group homework, but their policy is to give only broad ... Problems to study for Math 115 Exam 3. Here is a breakdown of Math 115 Exam 3 by topic. Each problem reference is a link, so you can click on it to see the problem. This web page contains the solutions to the exam problems for Math 115, a calculus course at the University of Michigan. The problems involve linear and exponential functions, … Math 115 umich, Math 115 | Final Exam | December 14, 2022 EXAM SOLUTIONS 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 12 pages including this cover. There are 9 problems. Note that the problems are not of equal di culty, so you may want to skip over and return to a problem on which you ..., Math 115 / Exam 2 (November 7, 2022) page 4 3.[8 points] At a certain location in Lake Michigan, scientists are measuring water temperature. Let W(d) be the temperature, in degrees Fahrenheit ( F), of the water at a depth of d meters (m). Shown below is a table of values of W(d) and its derivative W0(d), which are both de ned and di erentiable , We would like to show you a description here but the site won’t allow us., University of Michigan Department of Mathematics Winter, 2017 Math 115 Exam 1 Problem 7 (cats) Solution. Math 115 / Exam 1 (October 10, 2016) page 7 5. [10 points] Scientists bore a hole deep into the earth and lower an instrument to record the temperature. As the instrument goes deeper, the temperature it records increases., Math 115 / Final (December 14, 2022) page 8 5.[11 points] A museum is building a specialized box to display a new exhibit. The box needs to have a volume of 20 cubic feet and a height of 2 feet. The front of the box, which is shaded in the diagram, Math 115 / Exam 1 (October 10, 2016) do not write your name on this exam page 6 5. [10 points] Scientists bore a hole deep into the earth and lower an instrument to record the temperature. As the instrument goes deeper, the temperature it records increases. Let T = g(w) be the temperature, in degrees Celsius, the instrument records when it is w, Math 115 / Exam 1 (February 7, 2023) page 3 2.[8 points] Octavia wants to inflate her front bicycle tire with her new air compressor, so she attaches the compressor to her tire and turns it on. Let V(t) represent the total volume of air, in cubic inches, that the compressor has pumped into the tire t seconds after the compressor has been, Applied Honors Calculus Sequence. (MATH 156-285-286): Applied Honors Calculus II (MATH 156) is designed for engineering and science majors who received a score of 4 or 5 on the AP exam (AB or BC). MATH 156 is an alternative to MATH 116 with more emphasis on science applications and theory. The sequence continues with courses in multivariable ..., Math 115 — Practice for Exam 3 GeneratedDecember7,2023 UMID: Initials: Instructor: SectionNumber: 1. This exam has 11 questions. Note that the problems are not of equal difficulty, so you may want to skip over and return to a problem on which you are stuck. 2. Please read the instructions for each individual exercise carefully., Math 115 Exam 2. y=f (x) + b. Click the card to flip 👆. vertical translation up b units. Click the card to flip 👆. 1 / 13., Tunisia, Argentina, Brazil and Thailand are home to some of the world’s most math-phobic 15-year-olds. Tunisia, Argentina, Brazil and Thailand are home to some of the world’s most ..., In order for a course to transfer to the University of Michigan as Math 115, it must thoroughly cover the following topics: Limits and their computation. Derivative as a limit. Derivatives of transcendental (i.e., exponential and logarithmic) and trigonometric functions. Differentiation rules, implicit differentiation. Curve sketching with ..., The math version of Wordle is tricky, but that undo button really helps. I’m convinced there are two kinds of nerds: word game people and number game people. The same thrill I feel..., c 2022, University of Michigan Department of Mathematics, and released under a Creative Commons BY-NC-SA 4.0 International License. ... Math 115 / Exam 1 (October 3, 2022) page 6 6.[11 points] Below is a portion of the graph of …, Some of the differences that you may find between your previous courses and Math 105/115/116: You will be expected to read the lesson before coming to class and expected to work in groups to solve problems during class—and, you may be asked to present solutions at the board. Instructors will not just “lecture.”., The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. This sequence is taken by the majority of Michigan students …, We would like to show you a description here but the site won’t allow us., You can complete the LSA language requirement at Schoolcraft by completing 4 semesters in the following languages. French: FR 101, 102, 201, 202. Spanish: SPAN 101, 102, 201, 202. The following language courses also transfer, but you will have to take a placement exam to determine where you would start the language sequence after you transfer., Math 115 / Final (December 14, 2017) page 4 3.[8 points] A group of biologists is studying the population of trout in a lake. Let k(t) be the rate at which the population of trout changes, in thousands of trout per month, tmonths after the biologists started their study, and let P(t) be the population of trout, in thousands, tmonths after the study , Math 115 - Calculus 1, Section 007, Fall 2016 INSTRUCTOR: Dr. Yulia Hristova OFFICE: 2079 CASL Building; tel. (313) 593-5175 EMAIL: [email protected] (see e-mail …, Math 115 / Exam 2 (November 6, 2023) page 3 2.[9 points] A company is designing a new line of suitcases with height a, length b, and width c, all in inches. The dimensions of the new suitcases need to satisfy the constraints b = 2c and a+ b+ c = 45. What are the dimensions of such a suitcase with the largest possible, The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. This sequence is taken by the majority of Michigan students …, Math 115 / Exam 2 (March 26, 2019) page 4 3.[11 points] Suppose h(x) is a continuous function de ned for all real numbers x. The derivative and second derivative of h(x) are given by h0(x) = 2x 3(x2 1)2=3 and h00(x) = 2(x2 + 3) 9(x2 1)5=3: a.[6 points] Find the x-coordinates of all critical points of h(x) and all values of xat which h(x) has a ... , Math 115-101 { Spring 2020 Instructor: Zhan Jiang Email: [email protected] O ce: Zoom Class schedule: O ce Hours: - 8:00-10:00 am. - Tue. 1-3 pm - T/W/Th/F - Wed. 1-3 pm (in SLC) Textbook: Calculus: Single Variable by Hughes-Hallett, Gleason, et al., 7th Edition, published by John Wiley and Sons. ISBN 978-111-942626-4., Graduate Students: [email protected] Department Administration: [email protected] Intranet. Click to call 734.764.0335 . 734.764.0335 734.763.0937. Sitemap . Information For ; Prospective Students; Current Students; Faculty and Staff; Alumni and Friends; More about LSA ; About LSA; How Do I Apply?, Math 115 / Exam 1 (October 7, 2019) page 2 1.[8 points] The Amazing Wanda is performing a magic act. a.Let V(t) be the volume, in decibels (dB), of the audience’s applause tseconds after the beginning of the act. i.[2 points] At time t= 0, the audience is already clapping at a volume of 52 dB. During, We would like to show you a description here but the site won’t allow us., Advertisement Numbers pose a difficulty for humans. Sure, some of us have more of a gift for math than others, but every one of us reaches a point in our mathematical education whe..., Math 115 / Exam 1 (October 10, 2016) do not write your name on this exam page 6 5. [10 points] Scientists bore a hole deep into the earth and lower an instrument to record the temperature. As the instrument goes deeper, the temperature it records increases. Let T = g(w) be the temperature, in degrees Celsius, the instrument records when it is w, Some of the differences that you may find between your previous courses and Math 105/115/116: You will be expected to read the lesson before coming to class and expected to work in groups to solve problems during class—and, you may be asked to present solutions at the board. Instructors will not just “lecture.”., University of Michigan Department of Mathematics Fall, 2009 Math 115 Exam 1 Problem 3 (baby names) Math 115 / Exam 1 (February 6, 2018) do not write your name on this exam page 8 7., Math 115 / Exam 2 (March 30, 2021) page 4 3.[14 points] A table of values for a di erentiable, invertible function g(x) and its derivative g0(x) are shown below to the left. (This is the same table as in the previous problem.) Below to the right is shown a portion of the graph of h0(x), the derivative of a function h(x). The function h(x) is, Math 115 / Exam 1 (February 9, 2016) page 9 10. [9 points] Suppose data is collected at a U-M basketball game held at Crisler Center. ... University of Michigan Department of Mathematics Winter, 2016 Math 115 Exam 1 Problem 10 (Crisler) Math 115 / Exam 1 (October 9, 2012) page 7 6. [13 points] Toby listens to music as he walks to class in the ...