the last question on my calc 2 final
758.6 هزار بار بازدید -
3 سال پیش
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This is the last question
This is the last question on my calculus 2 final exam! I asked my calculus students to find the slope of the tangent line, the area under the curve, and the arc length of the hyperbolic cosine function cosh(x). Notice the graph of y=cosh(x) is very similar to the parabola y=x^2+1 because the power series expansion for cosh(x) is 1+x^2/2+x^4/4+... The graph of a hyperbolic cosine function is called a catenary (the shape of a hanging chain). I hope my calculus 2 students enjoy this equation and appreciate the cool properties that cosh(x) has! Dear calculus teachers, feel free to put this question on your calculus tests and let me know your students' reactions! : )
#calculus #catenary
the last lecture in my calc 1 class 👉 finding the volume of a Krispy Kreme ...
why arc length = area for cosh(x) 👉 Area under the curve equals to the ar...
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0:00 the story behind this question
0:33 find the slope of the tangent line to y=cosh(x) at x=4
2:17 find the area under y=cosh(x) from x=0 to x=4
3:31 find the arc length of y=cosh(x) from x=0 to x=4
5:31 why cosh(x) is super cool
Equipment:
👉 Expo Markers (black, red, blue): https://amzn.to/3yYLqOf
👉 The whiteboard: https://amzn.to/2R38KX7
👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integral...
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#calculus #catenary
the last lecture in my calc 1 class 👉 finding the volume of a Krispy Kreme ...
why arc length = area for cosh(x) 👉 Area under the curve equals to the ar...
Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo
💪 Join our channel membership to unlock special perks,: https://bit.ly/34PGH4h
🛍 Shop math t-shirt & hoodies: http://bit.ly/bprpmerch
10% off with the code "WELCOME10"
0:00 the story behind this question
0:33 find the slope of the tangent line to y=cosh(x) at x=4
2:17 find the area under y=cosh(x) from x=0 to x=4
3:31 find the arc length of y=cosh(x) from x=0 to x=4
5:31 why cosh(x) is super cool
Equipment:
👉 Expo Markers (black, red, blue): https://amzn.to/3yYLqOf
👉 The whiteboard: https://amzn.to/2R38KX7
👉 Ultimate Integrals On Your Wall: https://teespring.com/calc-2-integral...
---------------------------------------------------------------------------------------------------
**Thanks to ALL my lovely patrons for supporting my channel and believing in what I do**
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 O'Corrigan 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
---------------------------------------------------------------------------------------------------
💪 If you would also like to support this channel and have your name in the video description, then you could become my patron here Patreon: blackpenredpen
3 سال پیش
در تاریخ 1400/09/27 منتشر شده
است.
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