What is the equation of the line that’s equal-distance from two given points? @blackpenredpen

blackpenredpen | What is the equation of the line that’s equal-distance from two given points? @blackpenredpen | Uploaded 1 month ago | Updated 5 hours ago
Here’s an interesting yet simple algebra problem that I haven’t done before. What is the equation of the line that’s equal-distance from two given points?

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$First time solving an A-Level maths exam! (90 minutes, uncut) I will be doing a British A-Level further maths paper on the spot for the first time! This paper contains mainly algebra and calculus. Topics include complex numbers, hyperbolic equations, exponential equations, trigonometric identities and equations, first-order linear differential equations, determinant and the inverse of a 3x3 matrix, and more! Was I able to solve all the questions within 90 minutes? Was I able to get all the questions correct? Watch to find out. The afterward https://youtu.be/9GFUyT-D6D0 Try the paper first: https://qualifications.pearson.com/content/dam/pdf/A-Level/Mathematics/2017/Exam-materials/9fm0-01-que-20220526.pdf Big thanks to my Patrons for the full-marathon support! Ben D, Grant S, Erik S. Mark M, Phillippe S., Nicole D. 💪 Support this channel and get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 Timestamps: 0:00 A-Level further math paper from June 2022 0:58 Q1 Solving a cubic equation with complex roots 6:23 Q2 Solving a 4-th degree hyperbolic equation 15:55 Q3 Solving a first-order linear differential equation with integrating factor 21:28 Q4 Solving a series problem with natural log 28:55 Q5 Finding the determinant and the inverse of a 3x3 matrix Correction to Q5: https://youtu.be/pXdEBA6xI1c?si=11CZl3RkNheQQvMR 40:50 Q6 Partial fraction decomposition & integral of a rational function 50:05 Q7 A complex number problem 1:00:11 Q8 A long trig identity 1:23:39 Q9 An improper integral with hyperbolic cosine$

$100 calculus limits (ft epsilon-delta definition and Riemann sum limits ) Struggling with calculus limits? This ultimate study guide covers all the essential topics from Calculus 1 and Calculus 2 you need to master! From graph analysis to epsilon-delta proofs, this video will equip you with the tools to tackle any limit problem. Topics include LHopitals Rule, Riemann sums, indeterminate forms, piecewise functions, and more. Dont let limits limit your calculus grade - watch now and ace your next exam! #CalculusLimits #CalculusStudyGuide #LHopitalsRule #RiemannSums #Mathematics #100limits The indeterminate cat t-shirt 👉 https://amzn.to/3qBeuw6 👉 The method I used for the Brilliant limit is a result of the Stolz-Cesàro theorem https://en.wikipedia.org/wiki/Stolz%E2%80%93Ces%C3%A0ro_theorem 👉 A Brilliant limit https://youtu.be/89d5f8WUf1Y 🗂 100 limits file: https://www.patreon.com/posts/files-to-my-100-95153770? My patrons are awesome! Thank you to... AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist Robert Sundling Stuart Wurtman Nick S William OCorrigan Ron Jensen Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff Julian Moik Hiu Fung Lam Ronald Bryant Jan Řehák Robert Toltowicz Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L Billy Cheung Daniel Akhterov 💪 become my patron here https://www.patreon.com/blackpenredpen 0:00 100 limits in one take! [Q1 to Q10] use the graph Q1, 0:48 Q2, 7:26 Q3, 13:16 Q4, 17:29 Q5, 22:01, limits of sin(x)/x Q6, 26:46 Q7, 34:32 Q8, 38:45 Q9, 49:11 Q10,52:55, limit of tan^-1(x) [Q11 to Q20] Limits from piecewise functions Q11,57:25 Q12,1:00:31 Q13,1:04:29 Q14,1:09:11 Q15, 1:13:20 Q16, 1:16:21 Q17, 1:19:40, limit of abs(x)/x Q18, 1:23:10 Q19, 1:26:59, limit of the floor function, floor(x), aka the greatest integer function Q20, 1:32:33 [Q21 to Q35] limit as x goes to a, do not use LHospitals Rule Q21, 1:35:29, factor & cancel Q22, 1:38:38 Q23, 1:41:54, use the conjugate Q24, 1:45:31 Q25, 1:49:01, expand Q26, 1:53:05, just plug in Q27, 1:55:09, factor the sum of two cubes Q28, 1:58:28, polynomial long division or synthetic division Q29, 2:04:45, simplify the complex fraction Q30, 2:07:50 Q31, 1:12:34 Q32, 2:17:08 Q33, 2:22:08, multiply the lowest common denominator Q34, 2:24:57, factor x-8 as a difference of two cubes Q35, 2:28:45, use the conjugate [Q36 to Q45] limits at infinity Q36, 2:32:59 Q37, 2:34:36 Q38, 2:35:58 Q39, 2:41:49 Q40, 2:43:23 Q41, 2:45:08 Q42, I accidentally skipped this... Q43, 2:47:22 Q44, 2:50:38 Q45, 2:55:04 [Q46 to Q55] definition of derivative in terms of the limit Q46, 3:02:36 Q47, 3:08:48 Q48, 3:13:08 Q49, 3:16:32 Q50, 3:19:44 Q51, 3:25:42 Q52, 3:32:40 Q53, 3:35:36 Q54, 3:41:51 Q55, 3:49:56 [Q56 to Q70] LHospitals Rule Q56, 3:56:06 Q57, 4:05:28 Q58, 4:13:40 Q59, 4:16:25 Q60, 4:20:40 Q61, 4:22:49 Q62, 4:25:25 Q63, 4:28:33 Q64, 4:34:05 Q65, 4:37:22 Q66, 4:40:02 Q67, 4:41:24 Q68, 4:43:56 Q69, 4:49:41 Q70, 4:55:20 [Q71 to Q80] my limit secret weapons Q71, 5:02:21 Q72, 5:04:54 Q73, 5:06:55 Q74, 5:08:09 Q75, 5:09:03 Q76, 5:14:34 Q77, 5:15:35 Q78, 5:17:26 Q79, 5:22:15 Q80, 5:24:12 [Q81 to Q90] the epsilon-delta definition of a limit Q81, 5:26:27 Q82, 5:35:55 Q83, 5:41:03 Q84, 5:45:05 Q85, 5:51:54 Q86, 5:56:46 Q87, 6:05:02 Q88, 6:10:37 Q89, 6:18:45 Q90, 6:24:49 [Q91 to Q100] limit as integrals (Riemann Sum) Q91, 6:32:37 Q92, 6:44:34 Q93, 6:52:59 Q94, 6:57:20 Q95, 7:04:06 Q96, 7:08:39 Q97, 7:10:09 Q98, 7:11:25 Q99, 7:13:30 Q100,7:19:00$

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$the first 5 days of calculus 2 but the integrals get harder! Learn more calculus on Brilliant (now with a 30-day free trial): 👉https://brilliant.org/blackpenredpen/ (20% off with this link!) Today we will see what your first 5 days in your calculus 2 or AP calculus BC class is like. Calculus 2 is known as integral calculus and we usually start with learning all the integration techniques. We will cover the integral of x^2 with the reverse power rule, the integral of x*e^(x^2) with u-substitution, the integral of x^2*e^x with integration by parts, the integration of sqrt(1+x^2) with trigonometric substitution, and the integration of (2x+1)/(x^2+3x+2) with partial fraction decomposition. 0:00 day 1, reverse power rule 0:20 day 2, u sub 1:27 day 3, integration by parts 2:29 day 4, trig sub 6:16 day 5, partial fraction decomposition 8:51 Check out Brilliant 🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6 💪 Support the channel and get featured in the video description by becoming a patron: https://www.patreon.com/blackpenredpen AP-IP Ben Delo Marcelo Silva Ehud Ezra 3blue1brown Joseph DeStefano Mark Mann Philippe Zivan Sussholz AlkanKondo89 Adam Quentin Colley Gary Tugan Stephen Stofka Alex Dodge Gary Huntress Alison Hansel Delton Ding Klemens Christopher Ursich buda Vincent Poirier Toma Kolev Tibees Bob Maxell A.B.C Cristian Navarro Jan Bormans Galios Theorist Robert Sundling Stuart Wurtman Nick S William OCorrigan Ron Jensen Patapom Daniel Kahn Lea Denise James Steven Ridgway Jason Bucata Mirko Schultz xeioex Jean-Manuel Izaret Jason Clement robert huff Julian Moik Hiu Fung Lam Ronald Bryant Jan Řehák Robert Toltowicz Angel Marchev, Jr. Antonio Luiz Brandao SquadriWilliam Laderer Natasha Caron Yevonnael Andrew Angel Marchev Sam Padilla ScienceBro Ryan Bingham Papa Fassi Hoang Nguyen Arun Iyengar Michael Miller Sandun Panthangi Skorj Olafsen Riley Faison Rolf Waefler Andrew Jack Ingham P Dwag Jason Kevin Davis Franco Tejero Klasseh Khornate Richard Payne Witek Mozga Brandon Smith Jan Lukas Kiermeyer Ralph Sato Kischel Nair Carsten Milkau Keith Kevelson Christoph Hipp Witness Forest Roberts Abd-alijaleel Laraki Anthony Bruent-Bessette Samuel Gronwold Tyler Bennett christopher careta Troy R Katy Lap C Niltiac, Stealer of Souls Jon Daivd R meh Tom Noa Overloop Jude Khine R3factor. Jasmine Soni L wan na Marcelo Silva Samuel N Anthony Rogers Mark Madsen Robert Da Costa Nathan Kean Timothy Raymond Gregory Henzie Lauren Danielle Nadia Rahman Evangline McDonald Yuval Blatt Zahra Parhoun Hassan Alashoor Kaakaopuupod bbaa Joash Hall Andr3w11235 Cadentato Joe Wisniewski Eric Maximilian Mecke Thank you all!$