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(Solution Download) (1 pt) (a) Find a linear change of coordinates that takes the unit circle u2+v2=1 in the uv-plane to

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(1 pt) (a) Find a linear change of coordinates that takes the

 

unit circle u2+v2=1 in the uv-plane to the ellipse 3x2+4y2=16 in

 

the xy-plane.

 


 

x=x(u,v)=  

 

y=y(u,v)=  

 


 

(b) Find the absolute value of the determinant of the Jacobian for

 

this change of coordinates.

 

c) Use your answer to part (b)

 

to find the area enclosed by the ellipse 3x^2+4y^2=16.

 


 

Area = ?

 







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This question was answered on: Oct 24, 2017

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