For the triple integral: ∫0𝑎∫04𝑦∫0𝑔(𝑥,𝑦)𝑓(𝑥,𝑦,𝑧)𝑑𝑧𝑑𝑥𝑑𝑦what is the order at which the integral should be evaluated? Group of answer choiceswith respect to x then y then zwith respect to z then y then xwith respect to z then x then ywith respect to y then x then z

The triple integral ∫∫∫V1dV∫∫∫𝑉1𝑑𝑉 represents the volume of the region V𝑉 in 3D space.Select one:TrueFalse

For the double integral: ∫09∫0𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥If the differential element used is 𝑑𝑥𝑑𝑦, the integral becomes: Group of answer choices∫03∫𝑦29𝑓(𝑥,𝑦)𝑑𝑥𝑑𝑦∫03∫9𝑦2𝑓(𝑥,𝑦)𝑑𝑥𝑑𝑦∫03∫0𝑦𝑓(𝑥,𝑦)𝑑𝑥𝑑𝑦∫09∫0𝑦𝑓(𝑥,𝑦)𝑑𝑥𝑑𝑦 PreviousNext

To evaluate the double integral  ∫01∫3𝑦3𝑒𝑥2𝑑𝑥𝑑𝑦 it is best to:Group of answer choicesnone of the choicesevaluate in the given orderchange coordinateschange the order of integration

If the order of integration is reversed for the double integral  ∫01∫3𝑦3𝑒𝑥2𝑑𝑥𝑑𝑦, the new limits will be:Group of answer choicesx: from 3y to 3, y: from 0 to 1y: from x/3 to 1, x: from 0 to 3x: from 0 to 1, y: from 0 to 1y: from 0 to x/3, x: from 0 to 3

Which of the following properties is not applicable to double integrals: ∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥 and ∫𝑎𝑏∫𝑥2𝑥𝑔(𝑥,𝑦)𝑑𝑦𝑑𝑥? Note: 𝑎,𝑏,𝑘and𝑙 are all constants. Group of answer choices∫𝑎𝑏∫𝑥2𝑥𝑘𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥=𝑘∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥=∫𝑥2𝑥∫𝑎𝑏𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥+∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥=∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)+𝑔(𝑥,𝑦)𝑑𝑦𝑑𝑥∫𝑎𝑏∫𝑥2𝑥𝑘𝑓(𝑥,𝑦)+𝑙𝑔(𝑥,𝑦)𝑑𝑦𝑑𝑥=𝑘∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥+𝑙∫𝑎𝑏∫𝑥2𝑥𝑓(𝑥,𝑦)𝑑𝑦𝑑𝑥 PreviousNext Not saved Submit QuizQuestionsAnsweredQuestion 1AnsweredQuestion 2AnsweredQuestion 3Haven't Answered YetQuestion 4Haven't Answered YetQuestion 5Haven't Answered YetQuestion 6Haven't Answered YetQuestion 7Haven't Answered YetQuestion 8Haven't Answered YetQuestion 9Haven't Answered YetQuestion 10Haven't Answered YetQuestion 11Haven't Answered YetQuestion 12Haven't Answered YetQuestion 13Haven't Answered YetQuestion 14Haven't Answered YetQuestion 15Haven't Answered YetQuestion 16Haven't Answered YetQuestion 17Haven't Answered YetQuestion 18Haven't Answered YetQuestion 19AnsweredQuestion 20AnsweredQuestion 21AnsweredQuestion 22AnsweredQuestion 23AnsweredQuestion 24Time Running:Hide TimeAttempt due: Aug 5 at 11:59pm