Consider the force field F = (16xy, y − 8x) and the curve C defined by the linear path from point 𝛼(0, 0) to point 𝛽(8,

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Consider the force field F = (16xy,y − 8x) and the curve C definedby the linear path from point 𝛼(0, 0) to point 𝛽(8, 16)and then along the linear path from point 𝛽(8, 16) topoint 𝛾(0, 16).
Draw a graph of the given path and indicate its orientation andwhether C is closed.
What is the best method to evaluate the following line integralgiven F and C as defined above?
Use the most appropriate method to compute the work done by F onan object traversing C once, assuming F is measured inNewtons and distance is measured in meters.