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    Calculus Study Set 1
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    Exam 17: Line and Surface Integrals
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Question 69

Question 69

Essay

Let Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  .
A) Determine whether Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  is conservative, and if so, find a potential function for Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and
B) Compute the line integral Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  where C is the path consisting of: Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  : the parabola Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  from Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  to Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  : the line segment from Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  to Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  and Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  : the semicircle in the plane Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  with diameter Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  where Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and  and Let   .  A) Determine whether   is conservative, and if so, find a potential function for    B) Compute the line integral   where C is the path consisting of:   : the parabola   from   to     : the line segment from   to   and   : the semicircle in the plane   with diameter   where   and

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