This calculus video tutorial explains how to solve the distance problem within the related rates section of your ap calculus textbook on application of derivatives. This video explains how to find the rate at which the distance between a moving point on a curve and the origin changes with respect to time. The second problem asks you to determine the rate at which the distance of two cars is changing if one car travels east and the other travels north. The third problem asks you to determine how fast the distance between two ships is changing if ship A travels south and if ship B travels north.
Introduction to Limits:
https://www.youtube.com/watch?v=YNstP0ESndUDerivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0wIntroduction to Related Rates:
https://www.youtube.com/watch?v=I9mVUo-bhM8Derivative Notations:
https://www.youtube.com/watch?v=7BK_mmYckmIRelated Rates - The Cube:
https://www.youtube.com/watch?v=r5PTN2TgGwc__________________________________
Inflated Balloon & Melting Snowball:
https://www.youtube.com/watch?v=8dm0UtPyYj8Gravel Dumped Into Conical Tank:
https://www.youtube.com/watch?v=xvbrEfVLQ4kRelated Rates - Area of a Triangle:
https://www.youtube.com/watch?v=RGRhinA7YDIRelated Rates - The Ladder Problem:
https://www.youtube.com/watch?v=W3qoQIlfG0ERelated Rates - The Distance Problem:
https://www.youtube.com/watch?v=_sbq6yZ9Kt8____________________________________
Related Rates - Airplane Problems:
https://www.youtube.com/watch?v=jUn8MpV80po Related Rates - The Shadow Problem:
https://www.youtube.com/watch?v=-En2IABPR0IRelated Rates - The Baseball Diamond Problem:
https://www.youtube.com/watch?v=zytwFSyH0_0Related Rates - The Angle of Elevation Problem:
https://www.youtube.com/watch?v=dUBeikdfK10Related Rates - More Practice Problems:
https://www.youtube.com/watch?v=ps-r4nti5Go_________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collectionsAbout the Site 🌐
This site provides links to random videos hosted at YouTube, with the emphasis on random. 🎥
Origins of the Idea 🌱
The original idea for this site stemmed from the need to benchmark the popularity of a video against the general population of YouTube videos. 🧠
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Obtaining a large sample of videos was crucial for accurate ranking, but YouTube lacks a direct method to gather random video IDs.
Even searching for random strings on YouTube doesn't yield truly random results, complicating the process further. 🔍
Creating Truly Random Links 🛠️
The YouTube API offers additional functions enabling the discovery of more random videos. Through inventive techniques and a touch of space-time manipulation, we've achieved a process yielding nearly 100% random links to YouTube videos.
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As of February 2017, over 400 hours of content were uploaded to YouTube every minute, with the site ranking as the second-most popular globally. By May 2019, this figure exceeded 500 hours per minute. 📈
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