Solve the following relations for x and y, and compute the Jacobian J(u,v). u=3x +y, v=2x-y U+V 5.y= 2u-3v 5 (Type expressions using u and v as the variables.) Choose the correct Jacobian determinant of T below. (u+v) (2u-3v A. J(u,v)=; - 2 (°) ² (²5³) - 2 (²5) à (205³) au a O ○ B. J(UM) = (5) (5) - au OC. J(u,v)=- (²5³) (+)- a au a (20-3v) a (2u- au (²5³) (²5³) 2u-3v) (2u-3v (u O D. J(u,v)= - 2 (²5³) ÷ (²¹5³) - ÷ ( 5 ) à (H) au du The Jacobian of the transformation is J(u,v) =

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Solve the following relations for x and y, and compute the Jacobian J(u,v).
u=3x +y, v=2x-y
2u-3v
5
(Type expressions using u and y as the variables.)
Choose the correct Jacobian determinant of T below.
X =
U+V
5
1
A. J(U,V)=-
(u+v
(2u-3v
[T) () - (T) ()
du 5
5
au 5
+V à (2u-3v) à (2u-3v
5
au
5
B. J(u,v)=-
OC. J(u,v).
- (+) = ( + ) - 2 (²
au
(2u-3v
- (²³³) (†) - ÷ (²³3³) = (H)
à (2u-3v) a
av
au
5
5
5 au 5
O D. J(u,v) =
à
du
(2u-3v) a (2u-3v)
5
5
u+y
- 2 (U+r) 2 (0+r)
5 au 5
The Jacobian of the transformation is J(u,v) =
Transcribed Image Text:Solve the following relations for x and y, and compute the Jacobian J(u,v). u=3x +y, v=2x-y 2u-3v 5 (Type expressions using u and y as the variables.) Choose the correct Jacobian determinant of T below. X = U+V 5 1 A. J(U,V)=- (u+v (2u-3v [T) () - (T) () du 5 5 au 5 +V à (2u-3v) à (2u-3v 5 au 5 B. J(u,v)=- OC. J(u,v). - (+) = ( + ) - 2 (² au (2u-3v - (²³³) (†) - ÷ (²³3³) = (H) à (2u-3v) a av au 5 5 5 au 5 O D. J(u,v) = à du (2u-3v) a (2u-3v) 5 5 u+y - 2 (U+r) 2 (0+r) 5 au 5 The Jacobian of the transformation is J(u,v) =
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