Maximize Volume of an Open Top Box (Optimization) | Calculus 1 Exercises
We solve a common type of optimization problem where we are asked to find the dimensions that maximize the volume of an open top box with a square base and a fixed surface area. To do this we begin with a volume equation then use the surface area restriction to rewrite the volume in terms of a single variable, at which point we can use our usual strategy of taking the first derivative, finding critical points, then using the first or second derivative test to classify these critical points. #Calculus1 #apcalculus
Calculus 1 Exercises playlist: • Calculus 1 Exercises
Calculus 1 playlist: • Calculus 1
◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Follow Wrath of Math on...
● Instagram: / wrathofmathedu
● Facebook: / wrathofmath
● Twitter: / wrathofmathedu
My Math Rap channel: / @mathbars2020
Watch video Maximize Volume of an Open Top Box (Optimization) | Calculus 1 Exercises online without registration, duration hours minute second in high quality. This video was added by user Wrath of Math 28 January 2023, don't forget to share it with your friends and acquaintances, it has been viewed on our site 25,579 once and liked it 376 people.