Expression 1: "f" left parenthesis, "t" , right parenthesis equals left parenthesis, 3 plus cos "t" , sin "t" , right parenthesisft=3+cost,sint
1
Expression 2: "S" left parenthesis, "u" , "v" , right parenthesis equals left parenthesis, "f" left parenthesis, "u" , right parenthesis . "x" times cos "v" , "f" left parenthesis, "u" , right parenthesis . "y" , "f" left parenthesis, "u" , right parenthesis . "x" times sin "v" , right parenthesisSu,v=fu.x·cosv,fu.y,fu.x·sinv
2
Expression 3: "S" left parenthesis, 2 pi "u" , 2 pi "v" , right parenthesis Has graph.S2πu,2πv
00
domain u Minimum:
less than or equal to "u" less than or equal to≤u≤
domain u Maximum: 11
00
domain v Minimum:
less than or equal to "v" less than or equal to≤v≤
domain v Maximum: "a"a
3
Expression 4: "S" left parenthesis, 2 pi "u" , 2 pi "a" , right parenthesis Has graph.S2πu,2πa
00
domain u Minimum:
less than or equal to "u" less than or equal to≤u≤
11
domain u Maximum:
4
Expression 5: "S" left parenthesis, 2 pi "u" , 0 , right parenthesis Has graph.S2πu,0
00
domain u Minimum:
less than or equal to "u" less than or equal to≤u≤
