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(Solved): Consider the mapping from the uv-plane to the \( \mathrm{xy} \)-plane given by \( \mathrm{x}=\math ...



Consider the mapping from the uv-plane to the \( \mathrm{xy} \)-plane given by \( \mathrm{x}=\mathrm{v}, \mathrm{y}=\mathrm{u

Consider the mapping from the uv-plane to the \( \mathrm{xy} \)-plane given by \( \mathrm{x}=\mathrm{v}, \mathrm{y}=\mathrm{u}\left(1+\mathrm{v}^{2}\right) \). Find the image of \( S \) in the \( x y \)-plane 2. Consider the mapping from the \( x y \)-plane to the uv-plane given by \( u=x^{2}-y^{2}, v=2 x y \). Find the image in the uv-plane of : a. \( \mathrm{x}=\mathrm{c} \) b. \( \quad y=d \) Find the slopes of the two curves where they intersect in the uv-plane


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