Math 116 umich
With a vibrant community of over 750 declared majors and minors, Mathematics is also one of the more popular subjects to study at Michigan. Undergraduate students fill mathematics classes with approximately 13,000 enrollments each year. While many of these students enroll in c ourses for freshmen, approximately two thirds enroll in one or more ...
In order for a course to transfer to the University of Michigan as Math 116, it must thoroughly cover the following topics: Volumes of revolution by slicing. Integration by parts and substitution. Improper integrals. Sequences and series including p-series, ratio test, alt series test, integral test, comparison test, limit comparison test.
Math 116 / Exam 2 (November 9, 2020 ) page 2 1.[8 points] The graph of a piecewise-linear cumulative distribution function P(x) is given below. The function P(x) is de ned for all real numbers xand is constant for x<aand for x>14. a 14 x y a.[3 points] The median value for xis 10. Use this fact, and the fact that P(x) is a cumulativeWe would like to show you a description here but the site won’t allow us.Fri. 11AM–4PM. Sun. 4PM–10PM. For at least fall 2023 we have a pilot lab in the Duderstadt on north campus too! This is in B474 in the Duderstadt, and it is open Sunday through Thursday 4–10pm. For the spring and summer terms, we have a truncated schedule; see this calendar for times. Instructors' Pages: Ma105; Ma115; Ma116; Ma214; Ma215 ...Math 116 Masteries Last modified: Tue May 7 09:35:00 EDT 2024 Comments to math-itc(at)umich(dot)edu ©2004-09 Gavin LaRose, UM Math Dept/Regents of UMichMath 116 / Exam 1 (February 8, ... University of Michigan Department of Mathematics Winter, 2018 Math 116 Exam 1 Problem 6. Created Date: 9/26/2018 11:46:19 PMUniversity of Michigan Department of Mathematics Winter, 2014 Math 116 Exam 3 Problem 8 Solution Math 116 / Final (December 17, 2015) DO NOT WRITE YOUR NAME ON THIS PAGE page 11 13.Math 116 — Practice for Exam 1 GeneratedFebruary8,2023 Name: SOLUTIONS Instructor: SectionNumber: 1. This exam has 5 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 ...
Calculus I (MATH 115 or 120 or 185 or 275 or 295) Calculus II (MATH 116 or 121 or 156 or 186 or 276 or 296) To declare, students should have completed prerequisites (1) Introductory data science and (2) Calculus I. Prerequisite (3), Calculus II, is not required to declare, but must be completed prior or concurrent with DATASCI 306.Math 116 / Final (December 14, 2022) page 4 2.[15 points] The parts of this problem are unrelated to each other. Be sure to show work for all parts, and circle your final answer. a.[5 points] A leaking bag of sugar is lifted vertically from the ground to a height of 10 feet above the ground. The weight of the bag of sugar is 6− √Math 116 / Exam 1 (October 5, 2020 ) do not write your name on this exam page 4 3.[6 points] Let G(x) be de ned by G(x) = Z 5x 7 2x+3 et2 1 dt: a.[2 points] Find a value of xsuch that G(x) = 0. b.[4 points] Find G0(3). 4.[5 points] A trapezoid has bases of length 12 and 8, and has height 7, as shown in the diagram below. 8 12 7 h hMath 116 — Practice for Exam 2 Generated November 7, 2017 Name: SOLUTIONS Instructor: Section Number: 1. This exam has 12 questions. Note that the problems are not of equal difficulty, so you may want to ... University of Michigan Department of Mathematics Winter, 2015 Math 116 Exam 3 Problem 10 (ladybugs2) Solution. Math …University of Michigan Department of Mathematics Fall, 2011 Math 116 Exam 1 Problem 1Math 116 / Exam 2 (November 13, 2017) page 11 9. [12 points] For each of parts a through c below, determine the radius of convergence of the ... University of Michigan Department of Mathematics Winter, 2018 Math 116 Exam 2 Problem 9 (cult) Solution. Math 116 / Exam 1 (February 9, 2015) page 11 8.[9points] Sally,themarinescientist ...Math 116 — Practice for Exam 2 Generated October 22, 2018 Name: Instructor: Section Number: 1. This exam has 3 questions. ... University of Michigan Department of Mathematics Winter, 2013 Math 116 Exam 3 Problem 2. Math 116 / Exam 2 (November 12, 2014) page 5 4. [12 points] Consider the following sequences: f n =
Math 116 / Final (April 22, 2022) page 2 1.[13 points] Universe of Movies (UofM) is a new online movie rating database, which assigns movies a rating from zero to five stars. The star ratings for each movie are not necessarily integer values. The following probability density function gives the distribution of starMath 116 / Exam 1 (October 4, 2021 ) page 3 2.[14 points] Shirley is trying to measure the right amount of sugar into a bowl for 8 seconds. The function g(t) gives the rate (in cups/second) at which the amount of sugar in the bowl is changing tseconds after she starts measuring. The graph is linear on the intervals [2;3], [3;5],MATH 115 (or 120), 116 (or 121), 215 (or the equivalent) PHYSICS [135/136 or 140/141] and [235/236 or 240/241]. In cases where a student is transferring to Biochemistry from outside the University or is entering later, from another major, the student may be awarded an override for Genetics after completion of only one of either BIOLOGY 171 or ... Math 116 { Team Homework #4, Winter 2023 Some guidelines for your assignment • You must read and attempt the problems before meeting with your team. Even if you aren’t able to obtain all the answers, being prepared during the team meetings helps your group work more e ciently during the meeting. University of Michigan Department of Mathematics Winter, 2014 Math 116 Exam 3 Problem 10 (punchbowl) Math 116 / Final (December 17, 2015) DO NOT WRITE YOUR NAME ON THIS PAGE page 10 12.
Flagship cinema wells maine.
Math 116, 156 or 186. Textbook: Differential Equations: An Introduction to Modern Methods and Applications, by James Brannan and William Boyce, 2015 (3rd edition), Wiley. There should be a custom edition, ISBN 9781119426271, which is discounted and includes the e-book. ... ©2018 The Regents of the University of Michigan Last Modified: Wed May ... Math 116 / Exam 1 (February 7, 2022 ) page 4 Solution: The required labeled values are included in the graph below, and the value at x= −6 should be one less than the value at x= −5. The function should be increasing on [−6,−4.5] and [0,6], decreasing on [−4.5,0], with maximum and minimum at the transition points (Near MTH Schedule: Math 116, Winter 2021 Please read all of the notes that appear below the calendar. Monday Tuesday (Wednesday) Thursday (Friday) Jan 18 (Week 1) MLK Jr. Day 19 Class 1 Classes Begin Review § 5.1, 5.2 20 21 Class 2 Review § 5.3, 5.4 22 25 Class 3 (Week 2) Entrance Gateway Opens Review § 6.1, 6.2 26 Class 4 § 6.4 27 28 Class 5 ... Math 116 { Team Homework #4, Winter 2023 Some guidelines for your assignment • You must read and attempt the problems before meeting with your team. Even if you aren’t able to obtain all the answers, being prepared during the team meetings helps your group work more e ciently during the meeting.
Math 116 / Exam 1 (February 8, ... University of Michigan Department of Mathematics Winter, 2018 Math 116 Exam 1 Problem 6. Created Date: 9/26/2018 11:46:19 PM University of Michigan Department of Mathematics Fall, 2016 Math 116 Exam 3 Problem 1 Solution Math 116 / Final (December 19, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 12 12.[9points] Threeintervalsaregivenbelow.We would like to show you a description here but the site won’t allow us.University of Michigan Department of Mathematics Winter, 2015 Math 116 Exam 1 Problem 3 Solution. Math 116 / Exam 1 (October 9, 2013) page 10 8.[10points] Letg(x)beanoddcontinuousfunctionandh(x)anantiderivativeofg(x). Find ... Math 116 / Midterm (October 10, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 2 1. [13 points] …Math 116 / Exam 1 (February 22, 2021) do not write answers on this page page 3 2.[13 points] Let f(x) = 1 2x2 + 1. a.[4 points] Approximate the integral Z 5 1 f(x) dxusing MID(2). Write out each term in your sum. You do not need to simplify the numbers in your sum, but your nal answer should not contain the letter \f". b.[4 points] Approximate ...We would like to show you a description here but the site won’t allow us.1.The government has assigned a team to excavate a buried treasure. The team digs and comes across a box, with the top of the box located 25 meters below ground level. The box is a cube, with side length 3 meters. The team lifts the box to ground level as follows. A rope, of mass 10 kg per meter, is attached to the box.University of Michigan Department of Mathematics Winter, 2015 Math 116 Exam 1 Problem 3 Solution. Math 116 / Exam 1 (October 9, 2013) page 10 8.[10points] Letg(x)beanoddcontinuousfunctionandh(x)anantiderivativeofg(x). Find ... Math 116 / Midterm (October 10, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 2 1. [13 points] …
Math 116 / Exam 1 (February 6, 2017) page 10 9. [11 points] Advanced beings from another planet recently realized they left a stockpile of ... University of Michigan ...
Math 116 { Calculus II { Section 022 { Fall 2018 Instructor: Michael Zieve O ce: East Hall 3835 O ce Phone: 734-615-3650 O ce Hours in EH 3835: Monday 2:00 pm { 4:00 pm Email: [email protected] O ce Hour in the Math Lab: Monday 1:00 pm { 2:00 pm Class: 11:30 am { 1:00 pm, Mason Hall 2437 (Monday) and 2449 (Tuesday and Thursday)Math 116 — Practice for Exam 1 Generated September 30, 2020 Name: SOLUTIONS Instructor: Section Number: 1. This exam has 12 questions. ... University of Michigan Department of Mathematics Fall, 2019 Math 116 Exam 1 Problem 3 (cave) Solution. Math 116 / Exam 1 (February 5, 2018) page 9 7. [10 points]University of Michigan Department of Mathematics Fall, 2015 Math 116 Exam 3 Problem 7. Math 116 / Final (December 19, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 2 1. [4 points] Suppose that the power series ... Math 116 / Final (December 19, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 12 12.[9points] …Math 116 — Practice for Exam 3 Generated December 7, 2017 Name: Instructor: Section Number: 1. This exam has 8 questions. Note that the problems are not of equal difficulty, so you may want to skip ... University of Michigan Department of Mathematics Fall, 2016 Math 116 Exam 3 Problem 11 (Equinate) Math 116 / Final (April 28, 2014) page 4We would like to show you a description here but the site won’t allow us.Math 116 / Final (December 14, 2021 ) page 11. 9.[7 points] Emily is transporting a chocolate ice cream cone up 1 story of East Hall to her friend. However, there is a hole in the bottom of the cone and ice cream drips out in a steady stream. The mass of the cone is 200 grams and there are initially 100 grams of ice cream in the cone.Math 116 { Calculus II { Section 020 { Fall 2017. Course Description: The course presents concepts of calculus from four points of view: geometric (graphs), numeric (tables), …A small green apple has approximately 52 calories, while a large green apple can have up to 116 calories. Because of the nutritional value of green apples eaten with the skin, thes...Math 116 — Practice for Exam 1 Generated September 21, 2017 Name: SOLUTIONS Instructor: Section Number: 1. This exam has 8 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 116 Exam 1 Problem 10 Solution. Math 116 / Final …Math 216 is a 4 credit course on differential equations with supplementary coverage of complex numbers and matrix algebra. It is intended for engineers and scientists who will be using differential equations in their work. Those looking for a more in-depth treatment should consider Math 256 , 286, or 316 instead.
Senior allowance card.
Deuce and a half.
Math 116 / Exam 1 (March 29, 2021) page 3 2.[12 points] In order to build a settlement on the island, intruders start cutting down trees at the forest, cutting the trees into logs, and putting the logs in a pile. Let A nbe the number of logs they have in the pile at noon on the n-th day. The intruders have 100 logs in the pile atMath 116 / Final (April 22, 2022) page 2 1.[13 points] Universe of Movies (UofM) is a new online movie rating database, which assigns movies a rating from zero to five stars. The star ratings for each movie are not necessarily integer values. The following probability density function gives the distribution of starExam 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 116 / Exam 2 (March 29, 2021) do not write answers on this page page 4 3.[7 points] Emily is a physics teacher. She is demonstrating the physics of rocket-launching with a water rocket in her class today. The water rocket weighs 3 lbs on the ground, and Emily launches it straight up to 10 ft above the ground. During the launch, the rocket’s Math 116 | Second Midterm | November 9, 2020. Do not write your name anywhere on this exam or your submissions. Your submissions must, however, have the correct problem …2135 North Quad. 3–5 Wednesday. 2135 North Quad. 2. 1–3 Tuesday. 2155 North Quad. 1–3 Thursday. 2155 North Quad.1.The government has assigned a team to excavate a buried treasure. The team digs and comes across a box, with the top of the box located 25 meters below ground level. The box is a cube, with side length 3 meters. The team lifts the box to ground level as follows. A rope, of mass 10 kg per meter, is attached to the box.We would like to show you a description here but the site won’t allow us.Math 116 — Practice for Exam 1 Generated February 15, 2021 Name: SOLUTIONS 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, 2013 Math 116 Exam 1 Problem 7 Solution. Created Date: …University of Michigan Department of Mathematics Winter, 2014 Math 116 Exam 3 Problem 8 Math 116 / Final (April 26, 2013) page 10 8.[8points] Considerthepowerseries Math 116 / Exam 1 (February 8, ... University of Michigan Department of Mathematics Winter, 2018 Math 116 Exam 1 Problem 6. Created Date: 9/26/2018 11:46:19 PM This material is ©2020, University of Michigan Department of Mathematics, ... Math 116 / Exam 1 (February 10, 2020 ) do not write your name on this exam page 7 7.[6 points] A new edition of an old video game features a rocket which blasts o into space along a staight-line path. As in the earlier edition of the video game, at t= 10 seconds ... ….
Math 116 { Calculus II { Section 020 { Fall 2017. Course Description: The course presents 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 well as their ability to work cooperatively. Math 116 / Exam 1 (February 7, 2022 ) page 4 Solution: The required labeled values are included in the graph below, and the value at x= −6 should be one less than the value at x= −5. The function should be increasing on [−6,−4.5] and [0,6], decreasing on [−4.5,0], with maximum and minimum at the transition points (Near University of Michigan Department of Mathematics Winter, 2015 Math 116 Exam 3 Problem 1 Math 116 / Final (April 21, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 3 2.[12 points] In this problem you must give full evidence supporting your answer, Math 116 { Calculus II { Section 020 { Fall 2017. Course Description: The course presents 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 well as their ability to work cooperatively.Math 116 / Exam 2 (March 21, 2022 ) page 4 3.[12 points] a.[6 points] Suppose F(x) is a cumulative distribution function for the height x, in meters, of the students on the University of Michigan campus. For each of the following, circle MUST BE, COULD BE, or CANNOT BE if the statement must be true, could be true, or cannot be true. • F(2) <F(1).We would like to show you a description here but the site won’t allow us.This material is ©2024, University of Michigan Department of Mathematics, and released under a Creative Commons BY-NC-SA 4.0 International License. It is explicitly not for distribution on websites that share course materials. ... Math 116 / Exam 1 (February 12, 2024) page 2 1.[16 points] Let f(x) be a function that is even and twice ... Math 116 / Final (December 14, 2022) page 4 2.[15 points] The parts of this problem are unrelated to each other. Be sure to show work for all parts, and circle your final answer. a.[5 points] A leaking bag of sugar is lifted vertically from the ground to a height of 10 feet above the ground. The weight of the bag of sugar is 6− √ Math 116 umich, University of Michigan Department of Mathematics Winter, 2015 Math 116 Exam 3 Problem 1 Math 116 / Final (April 21, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 3 2.[12 points] In this problem you must give full evidence supporting your answer,, Math 116 / Exam 2 (November 13, 2017) page 11 9. [12 points] For each of parts a through c below, determine the radius of convergence of the ... University of Michigan Department of Mathematics Winter, 2018 Math 116 Exam 2 Problem 9 (cult) Solution. Math 116 / Exam 1 (February 9, 2015) page 11 8.[9points] Sally,themarinescientist ..., Math 116 / Exam 1 (February 8, ... University of Michigan Department of Mathematics Winter, 2018 Math 116 Exam 1 Problem 6. Created Date: 9/26/2018 11:46:19 PM , Math 116 { Calculus II { Section 028 { Fall 2020 Instructor: Yiwang Chen Email: [email protected] ... Mental Health and Wellbeing The University of Michigan is committed to advancing the mental health and wellbeing of its students. If you or someone you know is feeling over-whelmed, depressed,, MTH Schedule: Math 116, Winter 2021 Please read all of the notes that appear below the calendar. Monday Tuesday (Wednesday) Thursday (Friday) Jan 18 (Week 1) MLK Jr. …, Math 116 | Second Midterm | November 9, 2020. Do not write your name anywhere on this exam or your submissions. Your submissions must, however, have the correct problem …, Math 116 / Exam 1 (October 4, 2021 ) page 3 2.[14 points] Shirley is trying to measure the right amount of sugar into a bowl for 8 seconds. The function g(t) gives the rate (in …, 1 P∞ n=1(−1)n n(1+ln(n)) converges conditionally. University of Michigan Department of Mathematics. Winter, 2011 Math 116 Exam 3 Problem 10 Solution. 5. 4. (8 points) The Sierpinski Carpet is an example of a mathematical object called a fractal. It is., Math 116 — Practice for Exam 2 Generated October 22, 2018 Name: Instructor: Section Number: 1. This exam has 3 questions. ... University of Michigan Department of Mathematics Winter, 2013 Math 116 Exam 3 Problem 2. Math 116 / Exam 2 (November 12, 2014) page 5 4. [12 points] Consider the following sequences: f n =, Math 116 — Practice for Exam 1 GeneratedFebruary8,2023 Name: SOLUTIONS Instructor: SectionNumber: 1. This exam has 5 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 ..., %PDF-1.5 %âãÏÓ 100 0 obj > endobj 120 0 obj >/Filter/FlateDecode/ID[6BC99638CD0083F06ECAA05FCF088A92>20D79659FAC441B286CC35362EAA6005>]/Index[100 50]/Info 99 0 R ..., 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.”., Math 116 / Exam 1 (October 4, 2021 ) page 3 2.[14 points] Shirley is trying to measure the right amount of sugar into a bowl for 8 seconds. The function g(t) gives the rate (in …, MTH Schedule: Math 116, Winter 2021 Please read all of the notes that appear below the calendar. Monday Tuesday (Wednesday) Thursday (Friday) Jan 18 (Week 1) MLK Jr. Day 19 Class 1 Classes Begin Review § 5.1, 5.2 20 21 Class 2 Review § 5.3, 5.4 22 25 Class 3 (Week 2) Entrance Gateway Opens Review § 6.1, 6.2 26 Class 4 § 6.4 27 28 Class 5 ... , Math 116 { Calculus II { Section 028 { Fall 2020 Instructor: Yiwang Chen Email: [email protected] Class: 11:30-13:00 TWF O ce Hours: Monday 3-4(Mathlab)/ Tuesday 1-2/ Wednesday 3-4 Course Description: The course presents concepts of calculus from four points of view: geometric (graphs), numeric (tables), symbolic (formulas), and verbal ... , Math 116 / Exam 2 (November 15, 2022 ) page 4 2.[8 points] Suppose that a n,b n, and c nare sequences with the following properties: • The sequence a nis bounded • The series X∞ n=1 b nconverges absolutely 1 n2 + 1 ≤c n≤ 1 n for all n≥1 Determine whether the following statements are always, sometimes, or never true, and, Math 116 Calculus II. Math 116 Calculus II Course Outline YourGrade Assignments Exams Notes Parent Directory., University of Michigan Department of Mathematics Fall, 2019 Math 116 Exam 1 Problem 3 (cave) Solution, Math 116 / Exam 2 (November 16, 2011) page 5 4. [11 points] A restaurant installs a kitchen ventilation system to control the amount of grease ... University of Michigan Department of Mathematics Fall, 2011 Math 116 Exam 2 Problem 4 (ventilation) Math 116 / Exam 2 (March 23, 2015) page 3 2. [6 points] Your friend the goliath frog is going to ..., Math 116 / Final (December 17, 2015) DO NOT WRITE YOUR NAME ON THIS PAGE page 3 2. [8 points] Let f(x) = x2x. The first two derivatives of f are given below. f ... University of Michigan Department of Mathematics Fall, 2017 Math 116 Exam 3 Problem 6. Created Date: 11/14/2018 9:26:58 PM, We would like to show you a description here but the site won’t allow us., University of Michigan Department of Mathematics Winter, 2010 Math 116 Exam 3 Problem 2 Solution. 5 5. (18 pts) Fred likes to juggle. So does jason. The number of minutes Fred can juggle ... Math 116 / Midterm (November 14, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 11 11. [12 points] Determine whether the following integrals …, We would like to show you a description here but the site won’t allow us., Math 116 / Final (December 14, 2017) do not write your name on this exam page 8 8. [11 points] Imagine that a one pound ball is attached to a spring. This ball is allowed to ... University of Michigan Department of Mathematics Fall, 2017 Math 116 Exam 3 Problem 8 (spring) Solution. Math 116 / Exam 1 (October 4, 2021 ) page 11 8. [10 points ..., Math 116 { Team Homework #4, Winter 2023 Some guidelines for your assignment • You must read and attempt the problems before meeting with your team. Even if you aren’t able to obtain all the answers, being prepared during the team meetings helps your group work more e ciently during the meeting., University of Michigan Department of Mathematics Fall, 2016 Math 116 Exam 2 Problem 10 (tracking chip) Math 116 / Exam 2 (March 21, 2016) DO NOT WRITE YOUR NAME ON THIS PAGE page 4 3., Math 116 / Final (December 14, 2022) page 4 2.[15 points] The parts of this problem are unrelated to each other. Be sure to show work for all parts, and circle your final answer. a.[5 points] A leaking bag of sugar is lifted vertically from the ground to a height of 10 feet above the ground. The weight of the bag of sugar is 6− √, We would like to show you a description here but the site won’t allow us., Math 116 — Practice for Exam 1 Generated February 8, 2021 Name: Instructor: Section Number: 1. This exam has 6 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 ..., Math 116 / Exam 2 (November 9, 2020 ) page 2 1.[8 points] The graph of a piecewise-linear cumulative distribution function P(x) is given below. The function P(x) is de ned for all real numbers xand is constant for x<aand for x>14. a 14 x y a.[3 points] The median value for xis 10. Use this fact, and the fact that P(x) is a cumulative, 300-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 116 / Exam 1 (October 4, 2022 ) do not write your name on this exam page 7 7.[13 points] A drinking water facility needs to pump water out of an underground tank. The tank is 20 meters in length with right-triangular cross-sections perpendicular to the ground as shown in the figure. The top of the tank is a 2m by 20m rectangle., Do not evaluate the integrals in your expression. Math 116 / Exam 1 (February 6, 2023) page 11. Solution: We find the length of the top and bottom halves of the cross section sep- arately, and add them. For the top curve, y′= t′(x). And, for the bottom curve, y′= x−3 p 4 −(x−3)2. Therefore, using the arclength formula Z.