Expression 5: "f" left parenthesis, "u" , "v" , right parenthesis equals 2 fifths "u" plus 1 fifth sine left parenthesis, "u" , right parenthesis plus 1 fifth cosine left parenthesis, "v" , right parenthesis plus StartFraction, "v" Over 10 , EndFractionfu,v=25u+15sinu+15cosv+v10
5
Expression 6: "g" left parenthesis, "u" , "v" , right parenthesis equals 3 fifths "v" plus 1 fifth sine left parenthesis, "v" , right parenthesis plus StartFraction, sin left parenthesis, "u" , right parenthesis Over 10 , EndFraction plus StartFraction, "u" squared Over 30 , EndFractiongu,v=35v+15sinv+sinu10+u230
6
Expression 7: left parenthesis, "f" left parenthesis, "S" , "t" , right parenthesis , "g" left parenthesis, "S" , "t" , right parenthesis , right parenthesisfS,t,gS,t
domain t Minimum: negative "N"−N
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: "N"N
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Expression 8: left parenthesis, "f" left parenthesis, "t" , "S" , right parenthesis , "g" left parenthesis, "t" , "S" , right parenthesis , right parenthesisft,S,gt,S
domain t Minimum: negative "N"−N
less than or equal to "t" less than or equal to≤t≤