Given a vector field F=2xi+3xyj that represents the force of the wind on a sailboat, what is the work done by the wind on a boat traveling along a path defined by y=x^2 from a position (1,1) to a position (5,25)? Assume positions are given in kilometers and that force is in newtons. Note: To make units easy, a newton times a meter is a joule. A newton times a kilometer is a kilojoule (kJ). But F returns newtons.

Given a vector field F=2xi+3xyj that represents the force of the wind on a sailboat, what is the work done by the wind on a boat traveling along a path defined by y=x^2 from a position (1,1) to a position (5,25)? Assume positions are given in kilometers and that force is in newtons. Note: To make units easy, a newton times a meter is a joule. A newton times a kilometer is a kilojoule (kJ). But F returns newtons.

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