Question: Among all smooth, simple closed curves in the plane, oriented counterclockwise, find one along which the work done by the following vector is greatest. Hint:

 Among all smooth, simple closed curves in the plane, oriented counterclockwise,

find one along which the work done by the following vector is

Among all smooth, simple closed curves in the plane, oriented counterclockwise, find one along which the work done by the following vector is greatest. Hint: Find the region where (curl F) . k > 0. What is the curve along which the work is greatest

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