GMATH practice exercise (Quant Class 20)
Answer: [spoiler]____(C)__[/spoiler]
In the rectangular coordinate system, what is the area of th
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Could you please upload the image of the system described? It's impossible to answer the question otherwise.
- fskilnik@GMATH
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The "image of the system" is part of the solution! As you will see below, it is almost the whole solution itself!jpcameron17 wrote:Could you please upload the image of the system described? It's impossible to answer the question otherwise.
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Fabio.
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- fskilnik@GMATH
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$$? = {S_{{\rm{shaded}}}}\,\,\,:\,\,\,\,\left\{ \matrix{
\,xy > 0\, \hfill \cr
\,0 < y < 2\,\,\,\, \hfill \cr
\,x < y + 1 \hfill \cr} \right.\,\,\,\,\,\, \cong \,\,\,\,\,\,\,\,\,\left\{ \matrix{
\,x > 0\, \hfill \cr
\,0 < y < 2\,\,\,\, \hfill \cr
\,y > x - 1 \hfill \cr} \right.\,$$
$$? = {S_{\rm{I}}} + {S_{{\rm{II}}}} = 1 \cdot 2 + {{\left( {3 - 1} \right) \cdot 2} \over 2} = 4\,\,\,\,\, \Rightarrow \,\,\,\,\left( {\rm{C}} \right)$$
We follow the notations and rationale taught in the GMATH method.
Regards,
Fabio.
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