It’s a proven fact that QuickStudy boosts students’ grades. This is the questions to a seminar that I am currently working on entitled, "PHARMACOLOGY MADE INCREDIBLY UNDERSTANDABLE". In both cases, we take the limit of a quotient. If they don’t tell you the yvalue, you. This is intended to suggest a starting point. com for more IB resources. Look at page 1 of your answer sheet and locate the dark blue box near the. Even and Odd Functions. 2 Calc 2 Cheat Sheets are collected for any of your needs. Calculus Cheat Sheet Visit http://tutorial. Use search to find the required solver. Help support our site by clicking on the button above to donate through Paypal. Calculus Cheat Sheet. AP Calculus - Final Review Sheet When you see the words …. TABLE WAY General form: DT[i, j, by] “Take DT, subset rows using i, then calculate j grouped by by”. If L < 1, then the series a n converges. A power series is like a polynomial of in nite degree. Module 28 - Activities for Calculus Using the TI-83 Lesson 28. Struggling with scatterplots? Can't quite wrap your head around circumference? Here are resources and tutorials for all the major functions, formulas, equations, and theories you'll encounter in math class. The following document is under construction in Fall 2015. edu for a complete set of Calculus notes. List of tests Limit of the summand. Core 40 Pre-Calculus Reference Sheet Sequences and Series Arithmetic sequence: an = a. Answers to Odd-Numbered Exercises317 Chapter 41. Sequences and Series. Is the series a rational expression involving only polynomials or polynomials under radicals (i. com since 2004. Telescoping and Geometric series are the only types of series that you can estimate sums from. Final Exam Study Guide for Calculus II The nal exam will be a 2. A To find n, use the explicit formula for an arithmetic sequence. If the limit of the summand is undefined or nonzero, that is → ∞ ≠, then the series must diverge. However, series do play an important role in the field of ordinary differential equations and without series large portions of the field of partial differential equations would not be possible. Note: Some functions from other spreadsheet programs don't work in Sheets. The page provides math calculators in Calculus II. Series Convergence Tests Taylor Series only if |𝑟| 1 where 𝑟 is the radius of convergence and (−𝑟, 𝑟) is the interval of convergence (See Harold’s Series Convergence Tests Cheat Sheet) 1. Recall the definition of hyperbolic trig functions. ALEKS math courses online. All Calculus 1 Resources. Both deal with the addition of in nitely many in nitely small numbers. Derivatives (a) Limit De nition of a Derivative f0(x) = lim h!0 f(x+ h) f(x) h or f0(a) = lim x!a f(x) f(a) x a (b) Tangent Lines When asked to nd the equation of a tangent line on fat x= a, you need two things: A point and a slope. Description of the Examination. In this Calculus BC cram sheet, I’ll provide just a few concepts and formulas that you should be aware of. WHY THESE SHEETS ARE USEFUL –. Arithmetic Sequences and Series. WebMath is designed to help you solve your math problems. Here is a graphic preview for all of the Sequences and Series Worksheets. Ultimate Cheat Sheet for College Math: Algebra - Trig - Calculus - Linear Algebra - Diff Eq. L'Hospital's rule must sometimes be applied with some care, since it holds only in the implicitly understood case that does not change sign infinitely often in a neighborhood of. is divergent. My Calculus 3 teacher gave us 93. What’s in Fearless Fresh Cooking Cheat Sheets Series #1: Instant Vinaigrette to Win Any Salad This cooking cheat sheet contains a mix-and-match table of ingredients with the perfect ratio so you can create dressings like a kitchen boss. This list is not inclusive and only contains some of the more commonly usedLaplace transforms and formulas. valuable supplement is a guide directed especially at calculus-my absolute favorites are Calculus Activities for Graphic Calculators by Dennis Pence (PWS-Kent, 1990 for the Casio and Sharp and HP-28S, 1991 for the TI-81). 15 Calculators are not allowed. As a study aid, I have listed below the major. Differentiation and Integration. edu - m101c Formula Sheet. txt) or read online for free. File Handling Cheat Sheet in Python File Handling File handling in Python requires no importing of modules. Review of Trigonometric, Logarithmic, and Exponential Functions In this tutorial, we review trigonometric, logarithmic, and exponential functions with a focus on those properties which will be useful in future math and science applications. Not to mention their servers gave up the ghost turned into Zombies on 25 March 2015 (Brains! Brains! Brains!):. series X1 k=0 a k = a 0 + a 1 + a 2 + The proofs or these tests are interesting, so we urge you to look them up in your calculus text. I recently also got a trig version that I am pleased with. Calculus 1 Cheat Sheet (Video) Cookies This website uses cookies to ensure you get the best experience on our website. Math Cheat Sheet for Algebra. Problem 1 Evaluate the following integrals R dx x2+2x+5 Solution: 1 2 tan −1(x+1. AP Calculus BC Review and Worksheet: Comparisons of Series For most of the convergence tests we have looked at thus far, the terms of the series have to be fairly simple and must have special characteristics in order for the convergence tests to be applied. to put into appropriate form. Background313 40. YES! Now is the time to redefine your true self using Slader's free Stewart Essential Calculus Early Transcendentals answers. All the online resources that you need for your AP Calc test prep and review. Direct Comparison 9. com is a moderated chat forum that provides interactive calculus help, calculus solutions, college algebra solutions, precalculus solutions and more. xc= is an absolute. Core 40 Pre-Calculus Reference Sheet Sequences and Series Arithmetic sequence: an = a. Functions and Their Graphs Limits of Functions Definition and Properties of the Derivative Table of First Order Derivatives Table of Higher Order Derivatives Applications of the Derivative Properties of Differentials Multivariable Functions Basic Differential Operators Indefinite Integral Integrals of Rational Functions Integrals of Irrational Functions Integrals of Trigonometric Functions. Harold's Series Convergence Tests Cheat Sheet: Docx: My sequences and series convergence and divergence tests on 1 page: Harold's Taylor Series Cheat Sheet: Docx: My Maclaurin and Taylor Series with many examples: Harold's Calculus 3 Cheat Sheet: Docx: My rectangular, cylindrical, spherical, parametric, vector and matrix equations for conics. For example, faced with Z x10 dx. Math History 9: Calculus by Prof Wildberger. Calculus Cheat Sheet Visit http://tutorial. Feel free to download and enjoy these free worksheets on functions and relations. 15 Calculators are not allowed. SolveMyMath - Your math help website. Assume y(x) = P 1 n =0 cn (x a)n, compute y', y 2. Strategy for Series A set of general guidelines to use when deciding which test to use. 2019 Showbiz Cheat Sheet, All Rights Reserved. Unlock your Stewart Calculus PDF (Profound Dynamic Fulfillment) today. questions involve calculus and its applications—subject matter that can be assumed to be common to the backgrounds of almost all mathematics majors. AP Calculus BC Review and Worksheet: Comparisons of Series For most of the convergence tests we have looked at thus far, the terms of the series have to be fairly simple and must have special characteristics in order for the convergence tests to be applied. They are free and show steps. Here you will find our free geometry cheat sheet selection. L≠0 series both diverge|converge 5 Ways Cheatography Benefits Your BusinessCheatography Cheat Sheets are a great. Extreme Value Theorem: If f is continuous over a closed interval, then f has a maximum and minimum value over that interval. Algebra 2 - Sequences and Series Worksheets General Sequences Worksheets. A series for which the ratio of each two consecutive terms is a constant function of the summation index is called a geometric series. By Nancy Blachman & Jerry Peek who don't work for Google & Tasha Bergson-Michelson. From Calculus Workbook For Dummies, 2nd Edition. limit Compute limit of symbolic expression: Sum of a series: syms k n; symsum(k,0,n- 1) Full MATLAB cheat sheet. B Veitch Calculus 2 Study Guide 3. This review sheet is a summary of most of the main topics that you should already be familiar with from your pre-calculus and trigonometry course(s), and which I expect you to know how to use and be able to follow if I use. We will be looking at the equations of graphs in 3D space as well as vector valued functions and - how we do calculus with them. Review Sheet for Calculus 2 Sequences and Series SEQUENCES Convergence A sequence fa ngconverges if lima n exists and is nite. If L exists and L> 1 or is in nit y, then the series P 1 n =1 a n is div t. MATH 221 { 1st SEMESTER CALCULUS LECTURE NOTES VERSION 2. pdf file from our website www. Questions and commands are never propositions, but statements like \My Buick is maroon" (T) and \My Buick is black" (F) are propositions. General Formula for Growth and Decay. Read honest and unbiased product reviews from our users. Calculus Cheat Sheet Visit http://tutorial. These simple innovations uncover a world of fascinating functions and behavior. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Infinite Series 16. edu 2 - Graphs. The suggestions offered in this algorithm cheat sheet are approximate rules-of-thumb. com rmarkdown 0. Worksheet Pages for AP Calculus AB This page requires Firefox/Mozilla/Netscape to view math symbols. View Test Prep - Harolds_Calculus_Notes_Cheat_Sheet_2013 from MATH (Calc-Geo) at Redlands High School. Unlock your Thomas' Calculus PDF (Profound Dynamic Fulfillment) today. Our study guides are available online and in book form at barnesandnoble. Introduction to Calculus 1. Divergence or ℎ. Harolds Calculus Notes Cheat Sheet 20 March 2013 AP Calculus AB. If this series can converge conditionally; for example, converges conditionally if , and absolutely for. The following document is under construction in Fall 2015. Harolds Calculus Notes Cheat Sheet - Toomey. All others should direct their written requests to the Virginia Department of Education, Division of Student Assessment and School Improvement, at the above address or by e-mail to [email protected] While enjoying the annual Kardashian-Jenner Christmas party, Kim Kardashian had a minor wardrobe malfunction that left Kanye West very happy!. An Introduction To Tensors for Students of Physics and Engineering Joseph C. To select formula click at picture next to formula. Green Cells means assigned. For a more rigorous treatment of Riemann sums, consult your calculus text. Some can be bent, and some can be flagrantly violated. The easiest way to solve this problem is to find the area under each curve by integration and then subtract one area from the other to find the difference between them. Search for an online tutor in 40+ subjects including Math, Science, English and Social Studies. y = mx + b is a line will be able to use those facts in a real-world problem, with the cheat sheet in hand. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Math 1151 (Calc 1) and Math 1172 (Calc 2) Cheat Sheets / Reviews Here are the cheat sheets / reviews I made to survive Calculus 1 and 2 here. We will also learn about Taylor and Maclaurin series, which are series that act as functions and converge to common functions like sin(x) or eˣ. Calculus 2 A Quick Overview The following video provides an outline of all the topics you would expect to see in a typical Single-Variable Calculus 2 class (i. A series is the sum of a sequence, which typically involves. Shed the societal and cultural narratives holding you back and let free step-by-step Stewart Calculus textbook solutions reorient your old paradigms. Click to easily compare Larson Calculus to other calculus books available. Notes and terminology definitions for the Machine Learning Studio algorithm cheat sheet. Hint for the first series: Expand it as a sum of geometric series. The document categorizes the 7 OSI model layers into three main attack categories, namely application, Session and Network. 1—Sequences & Series: Convergence & Divergence Show all work. Quizlet flashcards, activities and games help you improve your grades. Series Tests, Power & Maclaurin Series. PatrickJMT: making FREE and hopefully useful math videos for the world! CALCULUS. As a simple example, you can create the number 10 from smaller numbers: 1 + 2 + 3 + 4. series X1 k=0 a k = a 0 + a 1 + a 2 + The proofs or these tests are interesting, so we urge you to look them up in your calculus text. Here is a graphic preview for all of the Sequences and Series Worksheets. Com provides free math worksheets for teachers, parents, students, and home schoolers. The suggestions offered in this algorithm cheat sheet are approximate rules-of-thumb. Handy “cheat sheets” with shortcuts, tips, and tricks. A series such as is called a p-series. Information students learn in. The following table develops progressively more sophisticated uses of Maxima as a symbolic math tool. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. Calculus Made Easy is the ultimate educational Calculus tool. It’s the power of a spreadsheet written as an equation. Extreme Value Theorem: If f is continuous over a closed interval, then f has a maximum and minimum value over that interval. p-Series 4. To run a bed & breakfast inn (B&B), you need to take care of business issues first, then go about the business of caring for your guests Servsafe test cheat sheet. Click on the name of the test to get more information on the test. They are free and show steps. The complex conjugate, denoted by z or zis de ned a z= x iy. valuable supplement is a guide directed especially at calculus-my absolute favorites are Calculus Activities for Graphic Calculators by Dennis Pence (PWS-Kent, 1990 for the Casio and Sharp and HP-28S, 1991 for the TI-81). To find these, simply Google "AP Calculus AB formula sheet" and look at your options. To effectively work through calculus problems, you have to understand a number of topics: the process of evaluating limits, methods of solving various differentiation and integration problems, and the tests for convergence or divergence of infinite series. • CC BY Mhairi McNeill • [email protected] They are designed to be experimented with, so play around and get a feel for the subject. argument the angle measured from the positive x-axis to the segment joining the origin and the point representing the graph of complex number c. This is a great reference to have handy for geography projects and any world country study. NO Does lim n→∞ sn = s s ﬁnite? YES. PatrickJMT: making FREE and hopefully useful math videos for the world! CALCULUS. Here is a graphic preview for all of the Sequences and Series Worksheets. Wayne Huang and his team. Great for an interactive notebook (1/2 sizes included). Differential Calculus Definition ƒ'(x) = lim ∆x→0 f x x f x x ( + ∆ ) − ( ) ∆ and if this limit exists ƒ'(c) = lim x→c f x f c x c ( ) − ( ) − If ƒ is differentiable at x = c, then ƒ is continuous at x = c. Math 2A: Calculus Lecture Capture on UCI OCW Math 2B: Calculus Lecture. Recall the definition of hyperbolic trig functions. This is what you think of doing 1. The Organic Chemistry Tutor 168,384 views 43:52. Calculus Cheat Sheet Visit http://tutorial. You might like to have a little play with: The Fourier Series Grapher. The overall format of the exam—including the weighting, timing, and number of questions in each exam section—won’t change. Complete Calculus Cheat Sheet - This contains common facts, definitions, properties of limits, derivatives and integrals. You would do well to consult several textbooks, because the approaches to. (ex) 40 thousand dollars L'Hospital's Rule It's good for forms 1. © 2005 Paul Dawkins Extrema Absolute Extrema 1. e + e e -ecosh() t = sinh t =2 2t -t t -t3. Math formulas and cheat sheet generator for arithmetic and geometric series. Kolecki National Aeronautics and Space Administration Glenn Research Center Cleveland, Ohio 44135 Tensor analysis is the type of subject that can make even the best of students shudder. Most of the information here is generally taught in a Calculus I course although there is some information that is generally taught in a Calculus II course included as well. Theoretical ComputerScience Cheat Sheet Deﬁnitions Series f(n) = O(g(n)) iﬀ ∃ positive c,n. Please Contact us for a Free Trial!. Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity. Lamar 2 - Cheat Table. Calculus 2 Cheat Sheet from ejj1999. This is a compendium of the most common Factorio facts as of v0. docx Mathematics 20-1 Formula Sheet. Base R Cheat Sheet RStudio® is a trademark of RStudio, Inc. This is a great one page cheat sheet illustrating how to convert between fractions, deci. A description of what is on the cheat sheet follows, or if you are impatient, you can go straight to the full size SQL Server cheat sheet. It will be updated periodically, and will evolve during the semester. You will need to use the Ratio Test, Root Test, or the. Boggus & Ms. Note as well that there really isn't one set of guidelines that will always work and so you always need to be flexible in following this set of guidelines. © 2005 Paul Dawkins Extrema Absolute Extrema 1. NO BULLSHIT guide to MATH & PHYSICS TOME II: optics, waves, electricity & magnetism, vector calculus (coming somtime in 2020). NOW is the time to make today the first day of the rest of your life. To create cheat sheet first you need to select formulas which you want to include in it. Calculus 2 A Quick Overview The following video provides an outline of all the topics you would expect to see in a typical Single-Variable Calculus 2 class (i. Questions and commands are never propositions, but statements like \My Buick is maroon" (T) and \My Buick is black" (F) are propositions. If the limit of the summand is undefined or nonzero, that is → ∞ ≠, then the series must diverge. g Series Estimation Theorem. Sequences 1. View Notes - Series Cheat Sheet (1) from MAC 2312 at Florida International University. Derivative-Quotient Rule. Or, symbolically, and. This makes such series easy to analyze. 15 Calculators are not allowed. Math · AP®︎ Calculus BC Defining convergent and divergent infinite series. Ultimate Cheat Sheet for College Math: Algebra - Trig - Calculus - Linear Algebra - Diff Eq. CASIO Education Workbook Series CALCULUS with the CASIO fx-9750GII † Limits † Continuity † Derivatives † Derivatives and Slope † Derivatives and Continuity † Derivatives and Graphs † Slope Fields † Anti-Derivatives † Integration † Riemann Sums † Tangent Lines † Trigonometric Applications WHAT’S INSIDE: y ns. Algebra 2 Worksheets Sequences and Series Worksheets. You may select what to find for each sequence, and the type of formula used. AP Calculus AB Exam. Sequences and Series (a) To every series, there are two associated sequences. 2 Calc 2 Cheat Sheets are collected for any of your needs. Direct Comparison 9. Calculus Programs for TI-83 Plus and TI-84 Plus Getting Started: Make math and science easier (and more fun) with free graphing calculator programs and games from calculatorti. This is a very important topic in Calculus III since a good portion of Calculus III is done in three (or higher) dimensional space. Base R Cheat Sheet RStudio® is a trademark of RStudio, Inc. Harolds Calculus Notes Cheat Sheet 20 March 2013 AP Calculus AB. AP Calculus - Final Review Sheet When you see the words …. Take the time to review the following tips and you’ll be well on your way to earning the highest possible score on your AP Calculus exam. xc= is an absolute. The remaining questions. The first way to cheat is to go into your calculator where the programming is. edu for a complete set of Calculus notes. Final Exam Study Guide for Calculus II The nal exam will be a 2. Introduction to Series. So, you must use these test's properties to estimate these sums If the question is asking for absolute convergence or conditional convergence. 1) Dividing two "normal" fractions, 2) Dividing a mixed number by a fraction, and 3) Dividing two mixed numbers. Sample Test 1. Divergence or ℎ. Calculus Cheat Sheet Visit http://tutorial. On this page you can read or download xactimate cheat sheet pdf in PDF format. ca we offer hundreds of free online math lessons for students and teachers. In other words, you’re creating a function with lots of other smaller functions. The course is intended to be challenging and demanding. To create cheat sheet first you need to select formulas which you want to include in it. The series of. They are free and show steps. Series are sums of terms in sequences. Average rates of change can be calculated not only for functions given by tables but also for functions given by formulas. Lesson 1 - Introduction to Sequence and Series and "The Cheat Sheet for College Students". This is a series of simplified fraction cheat sheets developed to help those students struggling with the concept. in this series provides explanations of the various topics in the course and a substantial number of problems for the student to try. Most of the information here is generally taught in a Calculus I course although there is some information that is generally taught in a Calculus II course included as well. A and B bit signaling Prosedur yang digunakan dalam fasilitas transmisi T1 dimana satu bit dari setiap frame keenam pada 24 subkanal T1 digunakan untuk membawa informasi yang bertindak sebagai pengawas pensinyalan. Pre-Calculus is a rigorous course that requires a commitment to studying. Harold's Calculus Notes Cheat Sheet 17 November 2017 AP Calculus Limits Definition of Limit Let f be a function defined on an open interval containing c and let L be a real number. Calculus Cheat Sheet Visit http://tutorial. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution. Calculus Cheat Sheets - Because of the size of this Ive got a. ©v Q2G0U1T6N dKQuKtJaY rS]oBfzt]wuaTrGe] _LpLTCH. Calculus Cheat Sheet. Regular Divergence. TABLE WAY General form: DT[i, j, by] “Take DT, subset rows using i, then calculate j grouped by by”. This is where we will post selected notes and handouts as we progress through the course. If you are visual and auditory learner and experiencing difficulty with traditional learning (lectures/textbooks), this rich-media course enables you to finally understand the concepts and problem solving via visual illustration and step. Divergence or 𝑛𝑡ℎ Term 6. 1—Sequences & Series: Convergence & Divergence Show all work. Both deal with the addition of in nitely many in nitely small numbers. Ultimate Cheat Sheet for College Math: Algebra - Trig - Calculus - Linear Algebra - Diff Eq. This page will show you how to divide two fractions. Review Sheet for Calculus 2 Sequences and Series SEQUENCES Convergence A sequence fa ngconverges if lima n exists and is nite. Simplify using common series expansions (Use y = vx ,z = v0 to nd y2 (x) if only y1 (x) is known. The Mean Value Theorem is an important theorem of differential calculus. Calculus Programs for TI-83 Plus and TI-84 Plus Getting Started: Make math and science easier (and more fun) with free graphing calculator programs and games from calculatorti. Click on the name of the test to get more information on the test. Extra Credit Assignment. Lesson 1 - Introduction to Sequence and Series and "The Cheat Sheet for College Students". Included: A one page summary handout for the tests for convergence of an infinite series. Since only textbooks group integrals according to the method necessary for solving them, it is essential that students learn to recognize the different types quickly and accurately. By Mark Ryan. By now, you should be familiar with several kinds of series like arithmetic or geometric series. NOW is the time to make today the first day of the rest of your life. Calculus emphasizes a multi-representational approach, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The p-series is given by 1/n p = 1/1 p + 1/2 p + 1/3 p + where p > 0 by definition. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values. ibmathsresources. Derivatives (a) Limit De nition of a Derivative f0(x) = lim h!0 f(x+ h) f(x) h or f0(a) = lim x!a f(x) f(a) x a (b) Tangent Lines When asked to nd the equation of a tangent line on fat x= a, you need two things: A point and a slope. Try for free. Answers recorded in your test book will not be counted. To make studying and working out problems in calculus easier, make sure you know basic formulas for geometry, trigonometry, integral calculus, and differential calculus. ALEKS has a full range of individualized online math courses for grades 3-12. Series II is a p-series with 1 p =−≤ 3 1 so it diverges. © 2005 Paul Dawkins. Calculus - Go to "Free Calculus Videos" in Left Column; BEST Videos on all Topics in AB and BC ; Videos on all Topics in AB and BC Calculus; Great Formula Cheat Sheets; The Calculus Tutor AB Material ; The Calculus Tutor BC Material ; University of Kansas Visual Calculus. Calculus-Help. If the limit of the summand is undefined or nonzero, that is → ∞ ≠, then the series must diverge. Free calculus calculator - calculate limits, integrals, derivatives and series step-by-step. Product Rule. Complete Calculus Cheat Sheet - This contains common facts, definitions, properties of limits, derivatives and integrals. The derivative of ln x. 0 such that 0 ≤ f(n) ≤ cg(n) ∀n ≥ n. It only takes a minute to sign up. Ratio Test Using the Ratio Test to determine if a series converges or diverges. Derivatives (a) Limit De nition of a Derivative f0(x) = lim h!0 f(x+ h) f(x) h or f0(a) = lim x!a f(x) f(a) x a (b) Tangent Lines When asked to nd the equation of a tangent line on fat x= a, you need two things: A point and a slope. Infinite Series Test for Convergence 2 Great Cheat Sheets re designed for Calculus 2, or AP Calculus BC. Site map; To create cheat sheet first you need to select formulas which you want. Calculus Cheat Sheet Integrals Reduced. With few exceptions I will follow the notation in the book. Harold's Calculus Notes Cheat Sheet 17 November 2017 AP Calculus Limits Definition of Limit Let f be a function defined on an open interval containing c and let L be a real number. Recall that the graph of x2−y2=1 is a hyperbola with asymptotes x=±y whose x -intercepts are ±1. Recall the definition of hyperbolic trig functions. Pre-calculus uses the information you know from Algebra I and II and ratchets up the diffi. The AP Calculus AB Exam will continue to have consistent question types, weighting, and scoring guidelines every year, so you and your students know what to expect on exam day. No calculator except unless specifically stated. To create your new password, just click the link in the email we sent you. We can expand the. (The Ultimate Cheat Sheets for Math and Physics!) at Amazon. Site map; To create cheat sheet first you need to select formulas which you want. By Mark Ryan. AP Calculus Cheat Sheet Intermediate Value Theorem: If a function is continuous on [ a, b], then it passes through every value between f (a) and f ( b). These rules are all generalizations of the above rules using the chain rule. Access Google Sheets with a free Google account (for personal use) or G Suite account (for business use). p-Series 8. Create a fraction foldable or just pass out the cheat sheet, the choice is yours. As a study aid, I have listed below the major.