X is house damage, Y is other property damage. might be better to post the pic :)

Question

X is house damage, Y is other property damage.  might be better to post the pic :)

amistre64 · Answer

attachment

amistre64 · Answer

f = 6(1-x-y) ;  x+y < 1

amistre64 · Answer

|dw:1428047580206:dw|

amistre64 · Answer

i assume we integrate dx from 0 to .2,  and y from 0 to -x+1

amistre64 · Answer

$$6\int_{0}^{.2}\int_{0}^{-x+1}1-x-y~dy~dx$$

amistre64 · Answer

(1-x) - x(1-x) - 1/2 (1-x^2)^2

1-x - x +x^2 -1/2 x^2 -1/2 +x

1/2 -x +1/2 x^2 

(.2)/2 -(.2)^2/2 +(.2)^3/6

amistre64 · Answer

.0813 is not it

perl · Answer

checking one moment

perl · Answer

should be 0.488

amistre64 · Answer

.488 if i let the wolf do the calcs :)

amistre64 · Answer

amistre64 · Answer

might be alittle embarassing that i cant even double integrate a linear function :)

perl · Answer

did you get 
y - xy - y^2/2 for the first inner integral

amistre64 · Answer

yep

rational · Answer

rational · Answer

if you wanto cheat ^

amistre64 · Answer

cheating is fine now, we are trying to do sophmore integration lol

perl · Answer

ok i gett after substituting for the dy part
-x+1/2+(1/2)*x^2

perl · Answer

ok you did that right , next step then

amistre64 · Answer

the wolf:
x^2/2 -x +1/2

mine:
1/2 -x + 1/2 x^2
x^2/2 -x +1/2

thats good yep

amistre64 · Answer

x^3/6 -x^2/2 +x/2, at x=.2

perl · Answer

you should get after integrating
6 * [ -(1/2)*x^2+(1/2)*x+(1/6)*x^3 ] | x = 0 to  0.2

amistre64 · Answer

times 6 eh, hmmm  i thought we didnt need that anymore lol

amistre64 · Answer

6(.0813) = .4878  yep, forgot the 6

amistre64 · Answer

should prolly try to get a nap in before a coma sets in :)