Learn Math with Caveman Chang

Hello everyone, for today's video I will be talking about the Pareto Principle aka 80/20 rule. This rule says that you can get 80% of the output with only 20% of the input. In other words, you can be at least a B- student with only studying 20% of the concepts. Although we should always strive to be our best selves and become an A+ student, sometimes statistically it says that its more worth it to be a B- student instead. What do you think? What would you rather get: B- or A+? Disclaimer: Not encouraging you to be a lazy student! :) Thanks for watching! Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ Stressed student image in thumbnail: https://www.freepik.com/free-vector/kid-got-stress-doing-homework-prepare-exam_7588724.htm#query=sad%20math%20student&position=3&from_view=search&track=ais Image by upklyakon Freepik

Hello! Today's video is about one number. Yup! an entire video on the number 4. In some cultures, the number 4 is superstitiously a bad number because it sounds like death. Well today, I will be talking about why this number is known as the black hole number in the math perspective. To this day, I cannot find an example of a word that does not end with 4 letters? Do you know of any? If you do, PLEASE let me know in the comments! Thanks :) Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP... Blackhole image: https://www.freepik.com/free-vector/vector-swirl-cartoon-comic-style-background-curve-decoration-circle-spiral-vintage-illustration_11054310.htm#query=vortex&position=10&from_view=keyword Image by macrovector on Freepik

Hello there! If you're studying for the SAT, ACT, GRE, CBEST, or any other standardized tests, chances are you need to remember a lot of formulas that show up in math. This video is your ultimate cheat sheet for all formulas and equations when it comes to exponents and logarithms! The first half of the video, I will go over the different exponent formulas/equations that you need to know. In the second half of the video, I will go over the different logarithms formulas/equations that you need to know. I also briefly talk about any formulas that are relevant to each other so you can see the relationship and better under where the formula comes from. You might hear me use the word properties, formulas, and equations interchangeably for the purposes of this video. Sections of this video: 0:00 Intro to Exponents/Logarithms 1:03 Properties of Exponents 4:16 Properties of Logarithms Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello there! You'll notice that in my recent videos, I have been talking more about the idea of math and what algebra really is. There are so many topics and subtopics in algebra but all of algebra is actually the just interaction between many different groups of numbers, operations, variables, etc. In today's video, I will be focusing on number groups or number sets. The main few things I will cover are order (seen in properties like associative, commutative, distributive), operations (working with and manipulating different numbers and variables), comparison (with expressions), number sets. Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello everyone! For today’s video, I’m not teaching a new math topic. Instead, I will be talking about a problem solving technique, or philosophy if you will. This video revolves around a quote from a tv show. The quote is: “Make the plan, execute the plan, expect the plan to go off the rails, throw away the plan.” Do you know where this quote is from? If you do, let me know in the comments! This quote may seem a little silly but its actually a great way to approach math problems. In this video, I break down the math problem solving philosophy into the 4 different phases per the quote. Sections in this video: 0:00 Intro to how to problem solve 1:04 Phase 1 - Make the plan 3:59 Phase 2 - Execute the plan 4:53 Phase 3 - Expect the plan to go off the rails 6:50 Phase 4 - Throw away the plan Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today's video, I will be clearing up the confusion between definitions, axioms, theorems, and corollaries. First things first, do you know how to read a math textbook? It would be such a pain to read the entire textbook from the front cover to the back cover right? Yup, that is true! So the best way to utilize a math textbook when you are looking for something is to skim through it. To skim efficiently, we need to know the differences and meanings of definitions, axioms, theorems, and corollaries. With this understanding, we will know how to easily look in a math textbook for what we need. Sections in this video: 0:00 Structures of a Math Textbook 1:07 Definitions 4:17 Axioms 7:51 Theorems 11:05 Corollaries 15:48 Outro and support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello! For today's video, we are continuing the series of quick multiplication. Math tips and tricks to help you look like a boss! We talked about multiplying 2 digits by 1 digit very quickly. This time, we talk about multiplying 3 digits by 1 digit very quickly. The three scenarios you will come across are 1.) no carry multiplication, 2.) simple case: 1 carry, and 3.) harder case: 2 carry. Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello! For today's video, we have the final video in the Intro to Modular Arithmetic series. I've talked a lot about modular arithmetic in terms of notation, positive and negative numbers, and now we have the properties. There are two basic properties of modular arithmetic, one is addition and one is multiplication. Properties of Modular Arithmetic: If a≡b(mod m) and c≡ d(mod m), then: 1.) a+c≡b+d(mod m) 2.) ac≡bd(mod m) Sections in this video: 0:00 Intro to Properties of Modular Arithmetic 3:16 Example #1 5:23 Example #2 8:26 Example #3 11:32 Outro and support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello! For today's video, I have 3 different questions geared towards the T exam. The topic for these 3 practice problems are polynomial inequalities. Keep in mind that each practice problem I go over in this video tests your understanding on a different concept revolving around this topic.The best way to utilize this video is to pause the video before I solve the problem and see if you can solve it. If you find that you can solve all these problems without watching me solve them, then you have a solid understanding of this topic. If you find that you need a little guidance while working through these problems, I hope that this video helps! The 3 types of questions you may encounter are: 1.) What is the solution? 2.) Which is the solution? 3.) How many solutions? Sections in this video: 0:00 Introduction to T Practice Problems Topic 0:45 T Practice Problem #1 3:50 T Practice Problem #2 7:53 T Practice Problem #3 10:39 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello! For today's video, I will talk about true or false math questions. I am not referring to the basic true and false problems where you are asked something like 1+2=3, is this true or false? I am referring to the more complicated true and false problems where if the statement is true, prove that it is true with a general proof (not specific to any example) and if the statement is false, provide a counterexample. When you work more and more on these types of problems, you will understand why most people wish that the mathematical statements are false. Sections of this video: 0:00 Intro to Proving Math Statements (True or False) 2:47 Example #1 4:50 Example #2 6:23 Example #3 7:29 Example #4 11:19 Outro and support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello! Today, I will go over another way to do quick math computation but this time its for multiplication, simple multiplication. The focus for today's video is multiplication of 2 digit numbers by 1 digit number. The traditional way we are taught is to multiple the ones digit then the tens digit and add any carry overs. The method I will teach you requires practice. The more you practice, the quicker you will be at computing these math problems. The two scenarios we will use are: 1.) Round down to the nearest tens digit and add the remaining ones digit. For example, 83 would be broken down into 80 + 3. 2.) Round up to the nearest tens digit and subtract the remaining ones digit. For example, 87 would be broken down into 90 - 3. The rule of thumb for the two scenarios is if the ones digit is greater than 5, then round up and subtract. If the ones digit is less than 5, round down and add. Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello there! For today, I will continue the topic of modular arithmetic but this time it will be with negative numbers. There is a slight difference between modular arithmetic with positive numbers and modular arithmetic with negative numbers. In order to avoid some confusion, I decided to talk about modular arithmetic with negative numbers in a separate video. If you want to watch my other video about modular arithmetic, you can see it here: https://youtu.be/r342wIaxbh4 Sections of this video: 0:00 Introduction to Modular Arithmetic (difference between positive and negative numbers) 1:59 Example #1 4:45 Example #2 5:50 Example #3 (there's 3 examples in this section) 7:12 Outro and support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today's video, I will be going over 4 different common mistakes that I encountered while teaching. In this short video, you will learn some of the most common mistakes so don't forget these! If you avoid these mistakes, you'll level up your algebra skills by levels! If you want, you can always check out my shorts too for other common mistakes that might not be mentioned in this video. Chapters: 0:00 Introduction to Common Algebra Mistakes 0:23 Common Mistake #1 2:09 Common Mistake #2 3:36 Common Mistake #3 6:41 Common Mistake #4 8:19 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello all, for today's video, it is about another method of direct proof. In previous videos, I've chatted about Direct Proof, Proof by Contradiction, and Proof by Contrapositive. For today's video, I will be talking about Proof by Induction. Links to previous video: Direct Proof: https://rumble.com/v10s3i5-method-of-proof-direct-proof.html Proof by Contradiction: https://rumble.com/vwv4zm-reducio-ad-absurdum-proof-by-contradiction.html Proof by Contrapositive: https://rumble.com/v11w5ie-method-of-proof-proof-by-contrapositive.html For Proof by Induction, what we are saying is that for any choice of k, if P(k) is true, then P(k+1) is true. Typically, you will see the proof by induction represented in a form of staircase or ladder. Essentially, you are given a starting point and the end result. You need to prove that because the starting point is true, the next step is true and the step after that is true. Sections of this video: 0:00 Proof by Induction 2:25 Proof Example #1 6:45 Proof Example #2 13:24 Proof Example #3 18:00 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello there! For today's topic, I will be talking about Modular Arithmetic. We are so used to focusing on division and how many times a number can go into a different number. Modular arithmetic puts the focus on the remainder. You'll see modular arithmetic in two different formats. One form has parentheses and the other form does not. Keep in mind that the small difference in detail makes a big difference because the values are switched around. # ≡ a (mod b) a ≡ # mod b In the two above forms, the # represents the dividend. The ≡ is an equivalence sign, not an equal sign. The a is the remainder and b is the divisor. Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello all! Today, I'm talking about proofs again. Yup! another video about proofs! Instead of a method of proof, today I will be talking about an approach for solving proofs. This is called the Case-by-Case Proof. It is exactly what it sounds like, we test different cases in these proofs. Make sure to read the question carefully to see what different cases you can test in the proof. Sections of this video: 0:00 Intro to Case-by-Case Proof Approach 2:26 Proof #1 8:34 Proof #2 12:48 Proof #3 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today's video, I will talk about 5 different properties or laws of algebra that are pretty useful. Some of these are very straightforward but will be pretty helpful once you work on proofs or other math topics. Some are better for you to memorize and some are better for you to understand where it came from so you can apply it to your math adventures. Sections of this video: 0:00 Intro to 5 random useful algebra properties 1:35 Law of Trichotomy 3:18 Triangle Inequality / Reverse Triangle Inequality 5:59 |a^2| = |a|^2 = a^2 8:23 Square/Cube Binomials and Pascal's Triangle 11:46 Sum and Difference of Cube Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello there! For today's video, I will be talking about numbers. Technically, I will be reintroducing numbers in a way that isn't as commonly known. When we normally count numbers, we know them as 0123456789 and so on. This way of understanding numbers of counting numbers is called base 10. In different industries, you'll encounter numbers in different bases. For example, binary is base 2 and hexadecimal is base 16. Aside from these bases, there are many other numbers you can use as bases. In this video, I will show you how to convert a number from base x to base 10 and then from base 10 to base x. Converting to base 10 is easier in my opinion because it uses addition. Converting from base 10 uses subtraction. They both aren't too complicated but it definitely might be weird if this is the first time you're seeing this. Components of a number: The bigger number is the value and the subscript is the base. In real life, we omit the subscript of 10 when counting so technically 196 is 196 base 10 (shown as a subscript). Sections in this video: 0:00 Introduction to Number Bases 4:01 Converting TO Base 10 10:01 Converting FROM Base 10 Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! Today's video will be about the different transformations you can do to a function. The original function which I will refer to as the reference function or the parent function is f(x). In this video, there will be 3 different variables mentioned: a, h, and k. a is the number in front of the function that we multiply by. This number tells us whether or not the function is flipped and whether the function is compressed or stretched. If a is negative, this means the function is flipped. If a is positive, this means the function keeps its original orientation. If a is less than 1, this means the function is compressed. If a is greater than 1, this means the function is stretched. h is the number that appears inside the parenthesis coupled with x. This number tells us the horizontal shift or translation of the function (left or right). If you see x+h, this means h is a negative number so there is a horizontal shift to the left. If you see x-h, this means h is a positive number so there is a horizontal shift to the right. k is the number that appears outside of the parenthesis. This number tells us the vertical shift or translation of the function (up or down). If k is positive, this means there is a vertical shift upwards. If k is negative, this means there is a vertical shift downwards. Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello all, for today's video, it is about another method of indirect proof. In previous videos, I've chatted about Direct Proof and Proof by Contradiction. For today's video, I will be talking about Proof by Contrapositive. Links to previous video: Direct Proof: https://rumble.com/v10s3i5-method-of-proof-direct-proof.html Proof by Contradiction: https://rumble.com/vwv4zm-reducio-ad-absurdum-proof-by-contradiction.html Proof by Contrapositive is pretty much saying: If not Q, then not P. Sections of this video: 0:00 Proof by Contrapositive 5:19 Proof Example #1 7:50 Proof Example #2 10:41 Proof Example #3 13:41 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel .Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ

Hello there! For today's video, think of it as a part 2 from the previous video about Graphing Hyperbolas. For questions regarding hyperbolas, there are usually two different types: graphing hyperbolas based on information given and finding information based on given hyperbola formula. If you haven't seen my previous video on Graphing Hyperbolas, you can watch it here: https://rumble.com/vz8vo6-introduction-to-graphing-hyperbolas.html In this video, we still talk about the vocabulary of hyperbolas but I will walk you through how to find all the information needed from the graph and formula. Center (h,k) Vertex (h+/-a,k) or (h,k+/-b) Co-Vertex (h,k+/-b) or (h+/-a,k) Transverse 2a or 2b Asymptote +/- (b/a) or +/- (a/b) Whichever a or b corresponds to the y-coordinate, that should be what you use on top. This gives you the slope. Sometimes you may be asked to provide the line of the asymptote so be prepared to use the point-slope form. Foci squareroot(a^2+b^2) Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today's video, I will talk about Direct Proof. This method of proof is the most common proof where you are given some information and what you are looking to prove. Usually, this entails a straight forward path step by step of how you got to your proof. The idea is If P, then Q. This method of proof is one of four most basic common proofs. Feel free to watch my other video here about proof by contradiction: https://rumble.com/vwv4zm-reducio-ad-absurdum-proof-by-contradiction.html Curious about Proof by Contradiction? Here's a classic example of Proof by Contradiction: https://rumble.com/vvq8hm-proof-by-contradiction-sqrt2-is-irrational.html Is this the first time you are seeing some of the proof symbols or maybe you need a little refresher? If yes, you can learn them in more detail with this video on Proof Symbols: https://rumble.com/vxn7vu-proof-symbols-used-in-math.html Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! I have another Math Magic Trick video for you today! Today, we will be going over multiplication of 11. There's a neat little trick that you can do to speed up your multiplication of 11 that I think is actually pretty cool. 2 digit: You separate the two digits apart leaving a space in the middle. In the middle, put the sum of the two digits and add it all together. If the sum of the two digits is greater than 10, don't forget to add the 1 to the first digit. 3 digit: You take the first and last digit and separate it apart leaving two empty spaces in the middle. In the first middle space, add the first digit and second digit together and put it there. In the second middle space, add the second digit and third digit together and put it there. Sections in this video: 0:00 Intro to Math Magic Trick - Multiplication of 11 3:07 Shortcut to Multiplication of 11 (2 digits) 4:43 Shortcut to Multiplication of 11 (3 digits) Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! For today, we have another video about probability. For this video, the focus is on a good skill that you should know: Picture Probability. You've probably heard the saying "a picture is worth a thousand words". In this case, the picture isn't worth that many words but its worth quite a bit. When given a word problem, you can definitely write down all the information given and slowly calculate what you need. Sometimes, its better to draw a picture that represents what the problem is giving you and what you need to find. This is called picture probability. In this video, I go over 3 practice problems that are much easier to solve because we are able to visualize it and see exactly what we need. Sections in this video: 0:00 Introduction to Picture Probability 0:22 Practice Problem #1 4:06 Practice Problem #2 7:56 Practice Problem #3 13:18 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...

Hello there! Get ready for a long video today! It's a bit longer than most of the other videos but that's because we are talking about hyperbolas today. Hyperbolas are a bit more complicated just because there is SO MUCH vocabulary involved in it. For the first section of this video, I go over the different vocabulary relating to hyperbolas and what they are referencing. Afterwards, I break down the formula of the hyperbolas in 1.) a generalized format and 2.) an even more generalized version. And then... as usual, we go over several example problems on the topic to help you solidify your understanding! Sections in this video: 0:00 Intro to Graphing Hyperbolas 1:57 Vocabulary Relating to Hyperbolas 7:10 General Formula of Hyperbolas 11:38 More General Formula of Hyperbolas 13:51 Example #1 18:44 Example #2 24:03 Outro and Support my channel Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below. For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang Hope you enjoyed my video! Thanks for watching! Credits: Custom Titles: Simple Video Making Link: https://www.youtube.com/channel/UCOsP...