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Sketch D and G(D) from the Description of D and Change

Question 103

Multiple Choice

Sketch D and g(D) from the description of D and change of variables (x, y) = g(u, v) .
- x=u2v2,y=2uv where D is the rectangle 0u1,0v1\mathrm{x}=\mathrm{u}^{2}-\mathrm{v}^{2}, \mathrm{y}=2 \mathrm{uv} \text { where } \mathrm{D} \text { is the rectangle } 0 \leq \mathrm{u} \leq 1,0 \leq \mathrm{v} \leq 1
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm{x}=\mathrm{u}^{2}-\mathrm{v}^{2}, \mathrm{y}=2 \mathrm{uv} \text { where } \mathrm{D} \text { is the rectangle } 0 \leq \mathrm{u} \leq 1,0 \leq \mathrm{v} \leq 1     A)     B)  None of these. C)    D)


A)
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm{x}=\mathrm{u}^{2}-\mathrm{v}^{2}, \mathrm{y}=2 \mathrm{uv} \text { where } \mathrm{D} \text { is the rectangle } 0 \leq \mathrm{u} \leq 1,0 \leq \mathrm{v} \leq 1     A)     B)  None of these. C)    D)

B) None of these.
C)
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm{x}=\mathrm{u}^{2}-\mathrm{v}^{2}, \mathrm{y}=2 \mathrm{uv} \text { where } \mathrm{D} \text { is the rectangle } 0 \leq \mathrm{u} \leq 1,0 \leq \mathrm{v} \leq 1     A)     B)  None of these. C)    D)
D)
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm{x}=\mathrm{u}^{2}-\mathrm{v}^{2}, \mathrm{y}=2 \mathrm{uv} \text { where } \mathrm{D} \text { is the rectangle } 0 \leq \mathrm{u} \leq 1,0 \leq \mathrm{v} \leq 1     A)     B)  None of these. C)    D)

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