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

Question 363

Multiple Choice

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

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