Download "Osculating Circles & Planes | Calculus 3 Lesson 34 - JK Math"
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How to Find Radius of Curvature & Osculating Planes (Calculus 3 Lesson 34) ➡️ Download my FREE Surfaces Cheat Sheets: https://www.jkmathematics.com//surfaces-cheat-sheets 🖥️ Membership Site (community & bonus content): https://www.jkmathematics.com/plus 🌐 My Website: https://www.jkmathematics.com ⭐️ Support Me on Patreon: https://www.patreon.com/JKMath In this video you will learn about how to use the vectors of a TNB frame to find the radius of curvature of an osculating circle, and the equations of osculating and normal planes. An osculating circle is a circle that best “fits” a space curve for a particular point along the curve. We can find the radius of such a circle, as well as find the plane that would contain it. This video series is designed to help students understand the concepts of Calculus 3 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture! Calculus 3 requires a solid understanding of concepts from calculus 2, calculus 1, precalculus, and algebra. This includes limits, differentiation, advanced integration techniques, applications of derivatives and integrals, polar coordinates, parametric equations, trigonometric functions, logarithms, factoring, equation manipulation, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 What is an Osculating Circle? 4:51 Osculating Planes 8:37 Normal Planes 12:21 Example: 〈t, sin(t), cos(t)〉at t=π 📝 Examples Video: https://www.youtube.com/watch?v=sF5T9DTc_oA ⏩ Next Lesson: https://www.youtube.com/watch?v=qeehErWI-VA 📺 Calculus 3 Playlist: https://www.youtube.com/playlist?list=PLHdRLeAbIZE5yZ7ydR9qeB_B6CcVFlX63 📺 Calculus 2 Playlist: https://www.youtube.com/playlist?list=PLHdRLeAbIZE7KQ922piyRIDAj30XYcOIu 📺 Calculus 1 Playlist: https://www.youtube.com/playlist?list=PLHdRLeAbIZE6krGDQthaQRpLZFLD4ob54 ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://www.amazon.com/Texas-Instruments-TI-Nspire-Graphing-Calculator/dp/B07RL7HM5V?language=en_US Non-Graphing Calculator: https://www.amazon.com/Texas-Instruments-TI-30X-Scientific-Calculator/dp/B00SWWKEAY?language=en_US Financial Calculator: https://www.amazon.com/s?k=ba+2+plus&language=en_US Graphing Paper: https://www.amazon.com/KAISA-Punched-Loose-Leaf-Binders-150sheet/dp/B096V2RYR2?sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&language=en_US College Rule Paper: https://www.amazon.com/Mead-Filler-College-Punched-15326/dp/B000068UWB?language=en_US My Favorite Pencil: https://www.amazon.com/Quick-Mechanical-Pencil-Assorted-Barrel/dp/B07FC5NGBX?language=en_US My Favorite Erasers: https://www.amazon.com/Prismacolor-Premier-Magic-Erasers-3-Count/dp/B005ENNEJW?language=en_US Calculus Workbook: https://www.amazon.com/Essential-Calculus-Practice-Workbook-Solutions/dp/1941691242?sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&language=en_US ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://www.amazon.com/Calculus-Ron-Larson/dp/0547167024?language=en_US Calculus 3: https://www.amazon.com/Multivariable-Calculus-Ron-Larson/dp/1285060296?language=en_US Financial Mathematics: https://www.amazon.com/Mathematics-Investment-Credit-ACTEX-Academic/dp/1566987679?language=en_US Algebra: https://www.amazon.com/Beginning-Algebra-Textbooks-Available-Cengage/dp/1111578702?dib=eyJ2IjoiMSJ9.g0T1GWGzoYKWtGxkj7UalJvCBFYIbNvNGfdeC55goiBg0R4T5OKmBFctoPC2aiQ6TGMfZ0Hgm0kD7yJwMG1IBxaNXWVuU5E8_Z8jzEYNMPoECwTXdNPKeaJHdi6k0nGpwFtaSkDxDCS9ubXCek9laEQflYsOhMfPCarQ6gQPcgAKeyHc79eTbeNCdhsHqz7aRL0gWNzoNN2oMi-fPo9sJ2AMQULppYXjBdAJHry93bCOmjCocOZrI1shLqCMNrQI6eiZUjcHtAALs9aKh21e4IUjdtRa3_3RW8Sg9AJHeyZwUkDBTTtfDvdbvWLDxcYg2vXkdezLVf1Ciixo_feMSNh7oD6w--Iu-TnWEyjxS_2qXvTsTWEN4pQIPq7gZIC26Ncag297fdhehj8oKpt-0bkc1_H1HX8YugHTGDWo4pc7gGIU6IoP1LXDwKlDJRF_.9PoBEP5UOvzmv0NibJkKbRZFnddOsK25HxJ-cGrUg8o&dib_tag=se&language=en_US ⚡️My Recording Equipment⚡️ iPad Air: https://www.amazon.com/Apple-iPad-Air-5th-Generation/dp/B09V3HJBN3?sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&th=1&language=en_US Apple Pencil (Gen 2): https://www.amazon.com/Apple-MU8F2AM-A-Pencil-Generation/dp/B07K1WWBJK?sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&language=en_US Tablet Desk Stand: https://www.amazon.com/OMOTON-Adjustable-Multi-Angle-Aluminum-Convenient/dp/B015FH0XKE?sp_csd=d2lkZ2V0TmFtZT1zcF9hdGY&th=1&language=en_US External Hardrive: https://www.amazon.com/Toshiba-HDTB420XK3AA-Canvio-Portable-External/dp/B079D3D8NR?language=en_US (Commissions earned on qualifying purchases) Follow me on Social Media! https://www.facebook.com/unsupportedbrowser Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! - Josh from JK Mathematics #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
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