![Math 115 / Final (December 17, 2015) page 2 1.[12 points] Recall that a function his odd if h( x) = h(x) for all x. A portion of the graph of p(x), an odd function, is shown below. Assume that the areas of the two shaded regions are 20 and 11, as indicated on the graph, and note that p(x) is linear for 16 <x<20. x y 8 12 16 20 4 4 2 2 4 p(x) 20 11 . 33748 text message](/img/512x512/1429165178188.webp)
Math 115 / Exam 1 (October 13, 2015) page 5 3.[9 points] A portion of the graph of a function f is shown below, along with three graphs obtained from fby one or more transformations. Below each of the three graphs is a list of possible formulas for that graph. Find the one correct formula for each graph, and write theWe would like to show you a description here but the site won’t allow us.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 ...The LSA mathematics website says MATH 110 is a class “designed for students who appear to be prepared to handle calculus but are not able to successfully complete MATH 115.”. In other words, students failing MATH 115 may be allowed to drop into MATH 110 as a safety net. MATH 110 is a half-semester course jam-packed with …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 .Mathematics is the language of the sciences, a cultural phenomenon with a rich historical tradition, and a model of abstract reasoning. With a vibrant community of over 750 declared majors and minors and graduate students, Mathematics is also one of the more popular subjects to study at Michigan. 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. Math 115 — Practice for Exam 3 Generated November 12, 2015 Name: Instructor: Section Number: 1. This exam has 3 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. Do not separate the pages of the exam. If any pages do become separated, write your name ...Jul 11, 2021 ... How the class works: for Math 115, Stor 115, Bio 115, Psyc 115 for Fall 2021.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 ...Students with credit for Math 120 only: LSA students get 2 credits for 120, which will increase to 4 each if you take another math course (116, 156, 185, 275, or 295). Most programs that require 115 accept 120 in its place (see below for exception). Generally, with AP/IB credit for Math 120 will start in Math 116.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 possibleMath 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 diagramLSA - 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 ...Math 115 / Final (December 8, 2023) page 7 6.[15 points] Caroline, an amateur astronomer, is driving at night along a straight road through the desert between the small towns of Tycho and Brahe, trying to find the darkest spot between them in order to obtain the best viewing conditions. Brahe is 37 kilometers (km) east of Tycho. We would like to show you a description here but the site won’t allow us. This material is ©2022, University of Michigan Department of Mathematics, and released under a Creative Commons BY-NC-SA 4.0 International License. ... Math 115 / Exam 1 (February 8, 2022) page 2 1.[10 points] Machiko and Nico are learning to sail on a river that runs east-west, and their friend ...Math 115 / Exam 1 (February 7, 2023) page 4 3.[5 points] Suppose f(t) is a differentiable function whose tangent line at the point t= 1 is given by the linear function L(t). To the right is a table consisting of some values of f(t) and L(t). t −1 1 3 5 f(t) 5 2 2 9 L(t) 3 2 1 0 a.[1 point] Find the average rate of change of f(t) on the ...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. Duringc 2021, University of Michigan Department of Mathematics, and released under a Creative Commons BY-NC-SA 4.0 International License. ... Math 115 / Exam 1 (February 23, 2021 ) page 6 7.[9 points] A pizza delivery driver works for a pizzeria on Main Street, which is a long, straight road.Math 115 / Exam 1 (February 9, 2016) page 10 10. [9 points] Suppose data is collected at a U-M basketball game held at Crisler Center. Let E(t) be the total amount of electricity, in megawatt-hours (MWh), that has been used by Crisler Center during the first t minutes of the basketball game, which starts at exactly 7:00 pm.Math 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, andA cluster in math is when data is clustered or assembled around one particular value. An example of a cluster would be the values 2, 8, 9, 9.5, 10, 11 and 14, in which there is a c... 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. 10. (9 points) A piece of wire of length 40 cm is cut into two pieces. One piece is made into a circle; the rest is made into a square. Find the lengths of each piece of wire so that the sum of the areas of the circle and square is. a minimum. [Be sure to show all of your work and clearly identify your answers.]Math is a language of symbols and equations and knowing the basic math symbols is the first step in solving mathematical problems. Advertisement Common math symbols give us a langu...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 (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 | 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 erentiableStudents with credit for Math 120 only: LSA students get 2 credits for 120, which will increase to 4 each if you take another math course (116, 156, 185, 275, or 295). Most programs that require 115 accept 120 in its place (see below for exception). Generally, with AP/IB credit for Math 120 will start in Math 116.We would like to show you a description here but the site won’t allow us.Are you looking for a fun and interactive way to improve your mathematical skills? Look no further than free online math games. These games not only make learning math enjoyable, b...The Mathematics Department accepts transfer credit for any math course which meets U (M) Mathematics prerequisite & major requirements. Math 105 is our "preparation for Calculus" course. Courses preceding Math 105 or that may be prerequisites to Math 105 will not be granted transfer credit. Transfer credits may be applied to majors and minors ...Office Hours: Mo 1:30-2:30PM (in EH 4828), Tu&Th 11:30-12:30PM (EH 4828), We 3-4 (in Math Lab) Course Syllabus Math 115 InformationMath 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 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 Math 115 / Final (April 28, 2014) page 3 2.[10 points] Kathy puts a very large marshmallow in the microwave for forty seconds and watches as it in ates. Let m(t) be the rate of change of the volume of the marshmallow, in cm3/sec, tseconds after Kathy puts it in the microwave. The graph of y= m(t) is shown to the right. 6 12 18 24 10 20 30 40 t ...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. Math 115 / Final (December 17, 2015) page 2 1.[12 points] Recall that a function his odd if h( x) = h(x) for all x. A portion of the graph of p(x), an odd function, is shown below. Assume that the areas of the two shaded regions are 20 and 11, as indicated on the graph, and note that p(x) is linear for 16 <x<20. x y 8 12 16 20 4 4 2 2 4 p(x) 20 11 Search All Requests/Equivalencies. This is a table of all existing course equivalencies and pending course equivalency requests for the UM Math Department. Use the search options to filter and find specific equivalencies. You may search multiple parameters at a time. Click any table column header to sort by that column.Math 115 — Practice for Exam 2 Generated November 11, 2018 Name: Instructor: Section Number: 1. This exam has 15 questions. ... University of Michigan Department of Mathematics Winter, 2015 Math 115 Exam 2 Problem 10. Math 115 / Exam 2 (March 24, 2015) page 3 2. [13 points] A function g(x) and its derivative are given byProblems 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. 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 time. Click on the # to get a solution. The "Shop" pages are for creating your own practice exam. You pick problems, add them to your "cart", then "checkout". 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 5, 2020) page 12 10. [9 points] A portion of the graph of a function g(x) is shown below. −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9Math 115 / Exam 2 (March 22, 2016) page 3 2. [12 points] Let f be the piecewise linear function with graph shown below. −3 −2 −1 1 2 3 ... University of Michigan Department of Mathematics Winter, 2016 Math 115 Exam 2 Problem 2 Solution. Title: CMTI7 Author: University of Michigan Department of MathematicsMathematics 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 . 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 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. 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 ...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 ...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.Math 115 / Exam 2 (March 26, 2019) page 6 b.[3 points] A di erent curve Rpasses through the point (0;1) and satis es dy dx = 2x y x 2y: One of the following graphs is the graph of R. Which of the graphs is it? Write the numeral (I, II, III, or IV) of the graph you choose on the answer line at the bottom of this page.Math 115 / Final (Friday, December 14, 2018) page 2 1. [10 points] Brianna is riding her unicycle on William Street. As she rides, she passes the Ann Arbor ... University of Michigan Department of Mathematics Fall, 2018 Math 115 Exam 3 Problem 1 (unicycle) Solution. Math 115 / Exam 2 (November 17, 2015) page 6 5. [12 points] In Srebmun Foyoj ... We would like to show you a description here but the site won’t allow us. 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.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 diagramOffice Hours: Mo 1:30-2:30PM (in EH 4828), Tu&Th 11:30-12:30PM (EH 4828), We 3-4 (in Math Lab) Course Syllabus Math 115 InformationThe Math Placement Advisor will be able to help you select the most appropriate course. When considering Math 105/115/116, we know that you may have had classes in the past with the same name—i.e., Precalculus, Calculus, even AP Calculus. Despite your previous experience, you should not expect any U‐M math class to be an …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 testedMath 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 …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.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. Let T = g(w) be the temperature, in degrees Celsius, the instrument records when it is whectometers below the surface of the ...Math 115 / Final (April 24, 2017) page 4 3.[12 points] Virgil, Duncan, Jasper and Zander are all watching a toy wind-up mouse move across the oor. Their person places the toy on the oor 2:3 meters away from Virgil, and it moves in a straight line directly away from Virgil at a strictly decreasing velocity. Below areHaving just finished math 115 and going into math 116 this upcoming semester, this is comforting. ... **University of Michigan subreddit** Post anything related to the University of Michigan. Be it class, sports, clubs, wanting to meet up, anything! Members Online. Math 215 Letdown ...Math 115 — Practice for Exam 3 GeneratedDecember7,2023 UMID: Initials: Instructor: SectionNumber: 1. This exam has 11 questions. ... University of Michigan Department of Mathematics Fall, 2004 Math 115 Exam 2 Problem 9 (merry go round) Math 115 / Final (April 26, 2019) page 5 4. [10 points] a. [5 points]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 ...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, …We would like to show you a description here but the site won’t allow us.Math 115 / Final (December 17, 2019) page 2 1.[9 points] The function f(x) is invertible and twice di erentiable for all real numbers. The table to the right gives several values of f0(x), the derivative of f(x). You do not need to show work in this problem, but lim-ited partial credit may be awarded for work shown. x 2 0 2 3 6 f0(x) 6 4 3 0 2 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 ... We would like to show you a description here but the site won’t allow us. 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. 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: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.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 / 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. Let T = g(w) be the temperature, in degrees Celsius, the instrument records when it is whectometers below the surface of the ...Math 115 — Practice for Exam 3 GeneratedDecember7,2023 UMID: Initials: Instructor: SectionNumber: 1. This exam has 11 questions. ... University of Michigan Department of Mathematics Fall, 2004 Math 115 Exam 2 Problem 9 (merry go round) Math 115 / Final (April 26, 2019) page 5 4. [10 points] a. [5 points] Math 115 / Exam 2 (November 11, 2019) page 2 1.[13 points] Let gbe a function such that g00(x) is de ned for all real numbers. A table of values of g0(x), the derivative of g(x), is given below. x 5 1 0 3 4 7 g0(x) 3 0 4 3 0 2 Assume that between each pair of consecutive values of xgiven in the table, g0(x) is either always We would like to show you a description here but the site won’t allow us. 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 it Math 115 / Final (April 28, 2014) page 3 2.[10 points] Kathy puts a very large marshmallow in the microwave for forty seconds and watches as it in ates. Let m(t) be the rate of change of the volume of the marshmallow, in cm3/sec, tseconds after Kathy puts it in the microwave. The graph of y= m(t) is shown to the right. 6 12 18 24 10 20 30 40 t ...
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. 114th pct
Math 115 / Exam 1 (February 9, 2016) page 10 10. [9 points] Suppose data is collected at a U-M basketball game held at Crisler Center. Let E(t) be the total amount of electricity, in megawatt-hours (MWh), that has been used by Crisler Center during the first t minutes of the basketball game, which starts at exactly 7:00 pm.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 ...Math 115 / Exam 1 (February 23, 2021 ) page 3 2.[12 points] a.[6 points] Consider the given table of values for the function j(u). u 1 2 3 j(u) 6 54 i.Supposing that j(u) is a linear function, ll in the missing entry in the table. Show your work. Solution: Since j(u) is linear, its output increases by a constant amount mevery time we increment ...Math 115 / Exam 2 (March 20, 2018.) page 6 4.[12 points] In the following questions, use calculus to justify your answers and show enough evidence to demonstrate that you have found them all. Determine your answers algebraically. a.[7 points] Let f(x) be a continuous function de ned for all real numbers with derivative given by f0(x) = (2x+ 1 ...Math 115 / Exam 1 (October 5, 2020) page 12 10. [9 points] A portion of the graph of a function g(x) is shown below. −5 −4 −3 −2 −1 1 2 3 4 5 6 7 8 9Math 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 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 I skipped 115 and took 116 first at UMich. From what I’ve gathered that class is similar in difficulty and reputation so I will throw in my two cents. I killed my calc class in HS and got a 5 on AB but 116 still kicked my ass, in fact, more than any of the math classes that I have taken later. There were two reasons. 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. Let T = g(w) be the temperature, in degrees Celsius, the instrument records when it is whectometers below the surface of the ...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 yAdvertisement 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...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 / 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 ....