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Topology

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Relatively Compact Graph

TOPO-N1EGGU

Which of the following subsets of $\mathbb{R}^2$ are relatively compact?

A

$\{(x,y):x^2+xy+y^2<1000\}$.

B

$\{(x,y):y=e^x\}$.

C

$\{(x,y):\sin(xy)-cos(x+y)=0\}$.

D

$\{(x,y): |x|+|y|^{1000}=100000\}$.