Mathematics, 28.11.2019 19:31 ashvinmsingh
In this problem we use the change of variables x=5s+t x = 5 s + t , y=sβ3t y = s β 3 t to compute the integral β«r(x+y)da β« r ( x + y ) d a , where r r is the parallelogram with vertices (x, y)=(0,0) ( x , y ) = ( 0 , 0 ) , (10,2) ( 10 , 2 ) , (11,β1) ( 11 , β 1 ) , and (1,β3) ( 1 , β 3 ) . first find the magnitude of the jacobian, β£β£β(x, y)β(s, t)β£β£= | β ( x , y ) β ( s , t ) | = . then, with a= a = , b= b = , c= c = , and d= d = , β«r(x+y)da=β«baβ«dc( β« r ( x + y ) d a = β« a b β« c d ( s+ s + t+ t + )dtds ) d t d s =
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In this problem we use the change of variables x=5s+t x = 5 s + t , y=sβ3t y = s β 3 t to compute th...
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