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

Question 158

Multiple Choice

Sketch D and g(D) from the description of D and change of variables (x, y) = g(u, v) .
- u=xy,v=yx\mathrm { u } = \mathrm { xy } , \mathrm { v } = \frac { \mathrm { y } } { \mathrm { x } } where D\mathrm { D } is the rectangle 1x4,12y21 \leq \mathrm { x } \leq 4 , \frac { 1 } { 2 } \leq \mathrm { y } \leq 2
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm { u } = \mathrm { xy } , \mathrm { v } = \frac { \mathrm { y } } { \mathrm { x } }  where  \mathrm { D }  is the rectangle  1 \leq \mathrm { x } \leq 4 , \frac { 1 } { 2 } \leq \mathrm { y } \leq 2     A)    B)     C)  None of these. D)


A)
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm { u } = \mathrm { xy } , \mathrm { v } = \frac { \mathrm { y } } { \mathrm { x } }  where  \mathrm { D }  is the rectangle  1 \leq \mathrm { x } \leq 4 , \frac { 1 } { 2 } \leq \mathrm { y } \leq 2     A)    B)     C)  None of these. D)
B)
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm { u } = \mathrm { xy } , \mathrm { v } = \frac { \mathrm { y } } { \mathrm { x } }  where  \mathrm { D }  is the rectangle  1 \leq \mathrm { x } \leq 4 , \frac { 1 } { 2 } \leq \mathrm { y } \leq 2     A)    B)     C)  None of these. D)

C) None of these.
D)
 Sketch D and g(D)  from the description of D and change of variables (x, y)  = g(u, v) . - \mathrm { u } = \mathrm { xy } , \mathrm { v } = \frac { \mathrm { y } } { \mathrm { x } }  where  \mathrm { D }  is the rectangle  1 \leq \mathrm { x } \leq 4 , \frac { 1 } { 2 } \leq \mathrm { y } \leq 2     A)    B)     C)  None of these. D)

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