Determine if the vector field F(x, y, z) = (-2xy cos(yz²), x² - z² cos(yz²), 2yz cos (yz²)) is incompressible. Show all work. Can F(x,y,z) = (-2xycos(yz²), x² - z² cos(yz²), 2yz cos(yz²)) be written as the curl of another vector field? Explain.
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