Surface of revolution (rotation around the x- or y-axis)
Expression 5:
5
Expression 6: "t" equals 4.2 9 5t=4.295
00
2 pi2π
6
rotation around the x-axis
Hide this folder from students.
7
Expression 8: left parenthesis, "u" cos "v" , "f" left parenthesis, "u" , right parenthesis , "u" sin "v" , right parenthesisucosv,fu,usinv
domain u Minimum: "a"a
less than or equal to "u" less than or equal to≤u≤
domain u Maximum: "b"b
00
domain v Minimum:
less than or equal to "v" less than or equal to≤v≤
domain v Maximum: "t"t
8
rotation around the y-axis
Hide this folder from students.
9
Expression 10: left parenthesis, "u" , "f" left parenthesis, "u" , right parenthesis cos "v" , "f" left parenthesis, "u" , right parenthesis sin "v" , right parenthesisu,fucosv,fusinv
domain u Minimum: "a"a
less than or equal to "u" less than or equal to≤u≤
domain u Maximum: "b"b
00
domain v Minimum:
less than or equal to "v" less than or equal to≤v≤