Asked by Salman
Consider the transformation T:x=(41/40)uā(9/41)v , y=(9/41)u+(40/41)v
A. Computer the Jacobian:
delta(x,y)/delta(u,v)= ?
B. The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S:ā41<=u<=41, ā41<=v<=41 into a square T(S) with vertices:
T(41, 41) = ( ? , ? )
T(-41, 41) = ( ? , ? )
T(-41, -41) = ( ? , ? )
T(41, -41) = ( ? , ? )
C. Use the transformation T to evaluate the integral double integral_T(S) (x^2+y^2) dA
A. Computer the Jacobian:
delta(x,y)/delta(u,v)= ?
B. The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S:ā41<=u<=41, ā41<=v<=41 into a square T(S) with vertices:
T(41, 41) = ( ? , ? )
T(-41, 41) = ( ? , ? )
T(-41, -41) = ( ? , ? )
T(41, -41) = ( ? , ? )
C. Use the transformation T to evaluate the integral double integral_T(S) (x^2+y^2) dA
Answers
There are no AI answers yet. The ability to request AI answers is coming soon!
There are no human answers yet. A form for humans to post answers is coming very soon!