Uploaded August 2026 | Updated September 2026, 3 weeks ago
In this video, I go over the end-of-chapter Problems Plus questions and solve 7 very advanced problems on vector functions. Three of the questions involve launching a projectile either on a flat, inclined, or declined plane. One question is on curvature, one on finding the equation of a plane, another is on rolling a ball off a table, and my favorite one is on finding the axial distance covered when wrapping a cable of known length around a spool of known diameter. Buckle up for 5 hours of mathematics!
#math #calculus #vectorfunctions #problemsplus #education
Timestamps:
- Intro – 0:00
- Calculus book reference – 0:35
- Calculus book chapter – 1:03
- Topics to cover – 2:15
- Problems Plus: 7 Problems – 2:50
- Problem 1: Projectile fired from origin – 12:04
- Problem 2: Projectile fired down inclined plane – 1:26:47
- Problem 3: Ball rolls of table – 2:26:37
- Problem 4: Curvature from parametric equations – 3:02:35
- Problem 5: Total distance traveled by projectile – 3:15:35
- Problem 6: Cable wound around a spool – 4:17:17
- Problem 7: Vector equation on a plane – 5:02:49
- Outro: 5:17:47
Notes and playlists:
- Notes: https://mes.fm/vector-functions-problems-plus
- PDF: https://1drv.ms/b/c/88862ef47bcaf6cd/IQBeffZ0TE-QQ6lmLsyB-FCDAQSzCsLke1J1S4HQcnoIAH4
- Problems Plus: youtube.com/playlist?list=PLHNdnBXVWSlo
- Vector Functions: youtube.com/playlist?list=PLai3U8-WIK0HQl7xTQBS_O8Te8PcpNm4U
- MES Math Tutorials: https://mes.fm/math
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In this video, I go over the end-of-chapter Problems Plus questions and solve 7 very advanced problems on vector functions. Three of the questions involve launching a projectile either on a flat, inclined, or declined plane. One question is on curvature, one on finding the equation of a plane, another is on rolling a ball off a table, and my favorite one is on finding the axial distance covered when wrapping a cable of known length around a spool of known diameter. Buckle up for 5 hours of mathematics!
#math #calculus #vectorfunctions #problemsplus #education
Timestamps:
- Intro – 0:00
- Calculus book reference – 0:35
- Calculus book chapter – 1:03
- Topics to cover – 2:15
- Problems Plus: 7 Problems – 2:50
- Problem 1: Projectile fired from origin – 12:04
- Problem 2: Projectile fired down inclined plane – 1:26:47
- Problem 3: Ball rolls of table – 2:26:37
- Problem 4: Curvature from parametric equations – 3:02:35
- Problem 5: Total distance traveled by projectile – 3:15:35
- Problem 6: Cable wound around a spool – 4:17:17
- Problem 7: Vector equation on a plane – 5:02:49
- Outro: 5:17:47
Notes and playlists:
- Notes: https://mes.fm/vector-functions-problems-plus
- PDF: https://1drv.ms/b/c/88862ef47bcaf6cd/IQBeffZ0TE-QQ6lmLsyB-FCDAQSzCsLke1J1S4HQcnoIAH4
- Problems Plus: youtube.com/playlist?list=PLHNdnBXVWSlo
- Vector Functions: youtube.com/playlist?list=PLai3U8-WIK0HQl7xTQBS_O8Te8PcpNm4U
- MES Math Tutorials: https://mes.fm/math
.
------------------------------------------------------
MES Links: https://mes.fm/links
Donate: https://mes.fm/donate
MES Truth: youtube.com/@mestruth
Official Website: https://MES.fm
Hive: peakd.com/@mes
Email me: contact@mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
BMI Calculator: https://bmicalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Timer: https://timer.mes.fm/
