Problems Plus 21: Finding the Solutions of a Maclaurin Cosine Series
In this video I find the solutions of an infinite Maclaurin cosine series when it equals to zero. Although we aren't given that the series is a Maclaurin cosine series, we can see this to be the case by looking at our table of common Maclaurin series and replacing the x terms with -x^2. Given the periodic nature of the cosine function, we get an infinite number of solutions as a function of any given integer. I also include an important note at the end of the video about keeping track of the negative signs when transforming functions, something that my Calculus book solutions manual forgot to do!
The timestamps of key parts of the video are listed below:
- Problem 21: 0:00
- Solution: Case where x ≥ 0 is not a solution: 0:31
- Maclaurin series for cos x : 1:24
- Solutions for cos x = 0: 4:54
- Solutions for f(x) = 0: 7:38
- Note on the Solutions Manual: 9:32
This video was taken from my earlier video listed below:
- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P
Related Videos:
Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
-
14:27
Math Easy Solutions
15 days ago $0.05 earnedHutchison Effect: Solid Block of Iron Warping and Twisting (Two Experiments)
2053 -
9:07
shaneyyricch
23 hours agoAddressing my beef with Harry Sisson
62K96 -
1:52:46
Game On!
18 hours agoBoston Celtics Can't Win Game 2! | Sports Morning Espresso Shot
41.8K33 -
1:00:01
Trumpet Daily
1 day agoMarxist Left Continues to Imprison Trump’s Inner Circle - Trumpet Daily | June 7, 2024
46.3K58 -
LIVE
The Amber May Show
12 hours agoReAwaken America Tour Detroit, MI - DAY 2 | Join General Flynn, Eric Trump, Kash Patel, Mayor Giuliani & Team America + Request Tickets for October 18-19 Selma, NC At: TimeToFreeAmerica.com
1,547 watching -
12:23
Freakin' Reviews
1 day agoRice Robot Review: One-Touch Rice Cooker? | As Seen on TV
80.3K30 -
5:45
Game Developer
1 day agoHow To Become A Game Dev (While Working A Full Time Job)
67.4K15 -
4:16
ryanhoguepassiveincome
1 day agoElevate Amazon Ads brand content with your Brand Store
70.4K6 -
16:19
RealReaper
1 day agoThe Acolyte Is Unwatchable
62.9K53 -
11:29
Ethical Preparedness
22 hours ago2 EASY Ways: Make Insect Bite & Sting Medicine - Medical Prepping for SHTF - Natural Medicine
69.1K13