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 one year ago
determine the limits and evaluate..
∫∫x2y2dA
where f is a figure bounded by F lines y = 1, y = 2 and x = 0, x = y
 one year ago
determine the limits and evaluate.. ∫∫x2y2dA where f is a figure bounded by F lines y = 1, y = 2 and x = 0, x = y

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electrokid
 one year ago
Best ResponseYou've already chosen the best response.1dw:1364052128248:dw that gives you the limits

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1it is easier to travel on yaxis because there is no sudden breaks

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1so \[0\le x\le y \qquad\text{&}\qquad1\le y\le2\]

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1if you are on the xaxis, you have to consider two pieces A) \(1\le y\le2 \qquad\text{&}\qquad0\le x\le1\) B) \(x\le y\le2 \qquad\text{&}\qquad1\le x\le2\) and sum them

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0in x=y, the value of y will become a and 2?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1all points on the "x=y" line will have the same abscissa and ordinate

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1yup, in the problem, all you need are the limits

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0will i add these A) 1≤y≤2&0≤x≤1 B) x≤y≤2&1≤x≤2 ??

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1use the first method its easier.

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1yes those are your two regions for the second method

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0x=0 to 1 and y= 1 to 2 ?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1no x=0 to y and y=1 to 2

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1dw:1364053324530:dw

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0i will integrate x^2y^2 using the limits x=0 to y and y=1 to 2 ?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1methid "1" is the horizontal element method "2" is the vertical

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0ah ok.. in \[\int\limits_{1}^{2}\int\limits_{0}^{y} x^2y^2 dxdy\], got 127/36.. is it right?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1\[ \int_{y=1}^2y^2\left[x^3\over3\right]_0^ydy={1\over3\times6}\left[y^6\right]_1^2 \]

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0127/36 = 3.53 7/2 = 3.5 my answer is 127/36 :)) its almost the same :)

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0@electrokid ? look at my answer?

electrokid
 one year ago
Best ResponseYou've already chosen the best response.1great job :D I'd personally not like to have many terms while integrating ... it gives migraine without it!

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0thank you!so is my answer also correct?

jedai17
 one year ago
Best ResponseYou've already chosen the best response.0thank you! tnx for ur time :)
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