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6 Nov 2019
I don't know what one-to-one means in this situation and how toshow it.
The mapping x(u, v) = u2 - v2, y(u,v) = 2uv transforms the rectangle 1 u 2, 1 v 3 of the uv-plane into a region R of the xy-plane. Show that the mapping (u,v) rightarrow (x(u,v),y(u,v)) is one-to-one. Show transcribed image text The mapping x(u, v) = u2 - v2, y(u,v) = 2uv transforms the rectangle 1 u 2, 1 v 3 of the uv-plane into a region R of the xy-plane. Show that the mapping (u,v) rightarrow (x(u,v),y(u,v)) is one-to-one.
I don't know what one-to-one means in this situation and how toshow it.
The mapping x(u, v) = u2 - v2, y(u,v) = 2uv transforms the rectangle 1 u 2, 1 v 3 of the uv-plane into a region R of the xy-plane. Show that the mapping (u,v) rightarrow (x(u,v),y(u,v)) is one-to-one.
Show transcribed image text The mapping x(u, v) = u2 - v2, y(u,v) = 2uv transforms the rectangle 1 u 2, 1 v 3 of the uv-plane into a region R of the xy-plane. Show that the mapping (u,v) rightarrow (x(u,v),y(u,v)) is one-to-one.1
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Irving HeathcoteLv2
26 May 2019