Differentials Max Error
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Use Differentials To Estimate The Maximum Error In The Calculated Volume
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Use Differentials To Estimate The Maximum Error In The Calculated Surface Area
View this message in English Je gebruikt YouTube in het Nederlands. Je kunt relative error differentials deze voorkeur hieronder wijzigen. Learn more You're viewing YouTube in Dutch. You can change this preference below. Sluiten Ja, nieuwe maximum error formula versie behouden Ongedaan maken Sluiten Deze video is niet beschikbaar. WeergavewachtrijWachtrijWeergavewachtrijWachtrij Alles verwijderenOntkoppelen Laden... Weergavewachtrij Wachtrij __count__/__total__ Using differentials to estimate maximum error Mitch Keller AbonnerenGeabonneerdAfmelden3636 Laden... Laden... Bezig... Toevoegen aan Wil je http://www.emathhelp.net/notes/calculus-1/differentials/using-differentials-to-estimate-errors/ hier later nog een keer naar kijken? Log in om deze video toe te voegen aan een afspeellijst. Inloggen Delen Meer Rapporteren Wil je een melding indienen over de video? Log in om ongepaste content te melden. Inloggen Transcript Statistieken 5.950 weergaven 6 Vind je dit een leuke video? Log in om je mening te geven. Inloggen 7 2 Vind je dit geen leuke video? Log https://www.youtube.com/watch?v=pFtpxooa7kw in om je mening te geven. Inloggen 3 Laden... Laden... Transcript Het interactieve transcript kan niet worden geladen. Laden... Laden... Beoordelingen zijn beschikbaar wanneer de video is verhuurd. Deze functie is momenteel niet beschikbaar. Probeer het later opnieuw. Gepubliceerd op 6 feb. 2014An example of using differentials to determine the maximum error in a volume calculation if you know the manufacturing error possibilities for the dimensions Categorie Onderwijs Licentie Standaard YouTube-licentie Meer weergeven Minder weergeven Laden... Autoplay Wanneer autoplay is ingeschakeld, wordt een aanbevolen video automatisch als volgende afgespeeld. Volgende Calculus - Differentials with Relative and Percent Error - Duur: 8:34. Stacie Sayles 3.364 weergaven 8:34 Shifrin Math 3510 Day24: Differential forms - Duur: 40:30. Math 3500/10 8.891 weergaven 40:30 Differentials: Propagated Error - Duur: 9:31. AllThingsMath 9.298 weergaven 9:31 Lect.5C: Maximum Error Of Mean Estimate - Duur: 10:31. DTUbroadcast 215 weergaven 10:31 Greatest Possible Error - Duur: 10:36. MrsRZimmerman 2.257 weergaven 10:36 Error and Percent Error - Duur: 7:15. Tyler DeWitt 114.871 weergaven 7:15 Errors Approximations Using Differentials - Duur: 5:24. IMA Videos 17.127 weergaven 5:24 Super Awesome Calculus - Linear Approximations and Differentials - Lecture 3:8 - Duur: 23:57. StraightAProductions 5.962 weergaven 23:57 Line
with: (1) Functions of several variables. (2) Evaluation of partial derivatives, and the chain rules of differentiation. (3) Manipulation of summations in algebraic context. At https://www.lhup.edu/~dsimanek/scenario/errorman/calculus.htm this mathematical level our presentation can be briefer. We can dispense with the tedious explanations and elaborations of previous chapters. 6.2 THE CHAIN RULE AND DETERMINATE ERRORS If a result R = R(x,y,z) is calculated from a number of data quantities, x, y and z, then the relation: [6-1] ∂R ∂R ∂R dR = —— dx + differentials to —— dy + —— dz ∂x ∂y ∂z
holds. This is one of the "chain rules" of calculus. This equation has as many terms as there are variables. Then, if the fractional errors are small, the differentials dR, dx, dy and dz may be replaced by the absolute errors ΔR, Δx, Δy, and Δz, and written: [6-2] differentials to estimate ∂R ∂R ∂R ΔR ≈ —— Δx + —— Δy + —— Δz ∂x ∂y ∂z Strictly this is no longer an equality, but an approximation to DR, since the higher order terms in the Taylor expansion have been neglected. So long as the errors are of the order of a few percent or less, this will not matter. This equation is now an error propagation equation. [6-3] Finally, divide equation (6.2) by R: ΔR x ∂R Δx y ∂R Δy z ∂R Δz —— = —————+——— ——+————— R R ∂x x R ∂y y R ∂z z The factors of the form Δx/x, Δy/y, etc are relative (fractional) errors. This equation shows how the errors in the result depend on the errors in the data. Eq. 6.2 and 6.3 are called the standard form error equations. They are also called determinate error equations, because they are strictly valid for determinate errors (not indeterminate errors). [We'll get to indeterminate errors soon.] The coefficients in Eq. 6.3 of the fractional er