3) Use the transformation x=u−v and y=u+v where S is the set bounded by the triangle with vertices (0,0),(1,1) and (2,0)

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3 Use The Transformation X U V And Y U V Where S Is The Set Bounded By The Triangle With Vertices 0 0 1 1 And 2 0 1 (79.55 KiB) Viewed 31 times

3) Use the transformation x=u−v and y=u+v where S is the set bounded by the triangle with vertices (0,0),(1,1) and (2,0). 4) Use the transformation u=xy and v=y/x where S is the set bounded by the curves u=1,u=4,v=1 and v=4. For each of the above problems, complete the following steps, showing all relevant work for another student to follow: a) Sketch and shade set S in the uv-plane. b) Label each of your curve segments that bound set S with their equation and domains. c) Find the pre-image of S in xy-coordinates. (That is to say, show appropriate work to find the boundaries of set R in the xy-coordinate system.) d) Sketch and shade set R in the xy-plane.