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Mathematics, 18.08.2020 18:01 jacob7542

Show that T(u, v)=(u^2βˆ’v^2, 2uv) maps the triangle ={(u, v): 0 ≀ v ≀ u ≀5} to the domain D bounded by x=0, y=0, and y^2=2500βˆ’100x. Use T to evaluate ∫ ∫ √ x^2 + y^2 dx. dy
D

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Show that T(u, v)=(u^2βˆ’v^2, 2uv) maps the triangle ={(u, v): 0 ≀ v ≀ u ≀5} to the domain D bounded b...
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