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Math Help - parameterization

  1. #1
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    Exclamation parameterization

    a parameterization for a surface called a helicoid is given: f(s,t)= (scost,ssint,t)

    compute the surface area of the helicoid corresponding to (s,t): [0,1]x[0,2pi]

    sorry i'm completely lost on this problem..any ideas how to set it up?
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  2. #2
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    Quote Originally Posted by calc626 View Post
    a parameterization for a surface called a helicoid is given: f(s,t)= (scost,ssint,t)

    compute the surface area of the helicoid corresponding to (s,t): [0,1]x[0,2pi]

    sorry i'm completely lost on this problem..any ideas how to set it up?
    Usually we have the surface given parametrically as

     <br />
{\bf r} = {\bf r}(u,v)<br />

    and the surface area is given by

    \iint_R || {\bf r_u \times r_v } || dA\,\, (1)

    Here, we have

     <br />
{\bf f} = < s \cos t,s \sin t,t><br />

    so identify {\bf r = f},\;\;u = s and v = t and follow (1)
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