Consider the following set:

Satellites $\backslash (=\backslash \{\backslash )$ Amos, Picard, Phonesat, Musat, Mercury, Gaia, Zenit, Meridian, Spacelab $\backslash (\backslash \}\backslash )$

Questions $\backslash (1-8\backslash )$ are weighted $0\mathrm{.}5$ point each, and Questions $9-14$ weight $1$ point each. Answer the following questions in detail:

$1.$ Define variable MySatellites that can hold any unordered collection of satellites.

$2.$ Explain whether Amos can serve as a legitimate value for variable MySatellites.

$3.$ Is $\backslash (\backslash \{\backslash )$ Picard, Phonesat, Musat $\backslash (\backslash \}\backslash$in $\backslash )$ Satellites?

$4.$ Is $\backslash (\backslash \{\backslash )$ Picard, Phonesat, Musat $\backslash (\backslash \}\backslash$in $\backslash$mathcal$\{$P$\}\backslash )$ Satellites?

$5.$ Is $\backslash (\backslash \{\backslash )$ Meridian, Spacelab $\backslash (\backslash \}\backslash$in $\backslash$mathcal$\{$P$\}\backslash )$ Satellites?

$6.$ Is $\backslash (\backslash \{\backslash )$ Mercury, Gaia, Zenit $\backslash (\backslash \}\backslash$subset $\backslash$mathcal$\{$P$\}\backslash )$ Satellites?

$7.$ Is $\backslash (\backslash \{\backslash \{\backslash )$ Picard $\backslash (\backslash \}\backslash \}\backslash$in $\backslash$mathcal$\{$P$\}\backslash )$ Satellites?

$8.$ Is $\backslash (\backslash \{\backslash \{\backslash )$ Picard $\backslash (\backslash \}\backslash \}\backslash$subset $\backslash$mathcal$\{$P$\}\backslash )$ Satellites?

$9.($a$)$ What does the expression MySatellites $\backslash (=\backslash$mathcal$\{$P$\}\backslash )$ Satellites signify and $($b$)$ Is the expression semantically equivalent to MySatellites : $\backslash (\backslash$mathcal$\{$P$\}\backslash )$ Satellites?

$10.$ What does the expression MySats $\backslash (=\backslash )$ Satellites $\backslash (\backslash$times $\backslash )$ Satellites signify exactly? Is variable MySats atomic or non$-$atomic?

$11.($a$)$ What is the difference between the following two variable declarations and $($b$)$ are the two variables atomic or non$-$atomic?

$-\backslash (\backslash$lambda$\_\{1\}\backslash )$ : Satellites

$-\backslash (\backslash$lambda$\_\{2\}$: $\backslash$mathcal$\{$P$\}\backslash )$ Satellites