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1. [-/5 Points] DETAILS LARCALC11 15.4.015. Use Green's Theorem to evaluate the line integral. J . 2 x y dx + ( x + * ) dy C: boundary of the region lying between the graphs of y = 0 and y = 1 - x2 2. [-/5 Points] DETAILS LARCALC11 15.4.016. Use Green's Theorem to evaluate the line integral. J ov 2 dx + xy dy C: boundary of the region lying between the graphs of y = 0, y = vx, and x = 253. [-/5 Points] DETAILS LARCALC11 15.4.007. Verify Green's Theorem by evaluating both integrals Jo v2 ax + x 2 dy - Ja / CON aM dA ay for the given path. C: square with vertices (0, 0), (1, 0), (1, 1), (0, 1) * 2 dx + * 2 dy OM dA ay 4. [-/5 Points] DETAILS LARCALC11 15.2.062. Evaluate ( 2x - y) dx + ( x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 8)\f7. [-/5 Points] DETAILS LARCALC11M 15.1.046.MI. Find the curl of the vector field at the given point. F(x, y, z) - x2zi - 2xzj + yzk; (7, -9, 1) curl F : 8. [-/5 Points] DETAILS LARCALC11M 15.1.060.MI. Find the divergence of the vector field F. F (x, y, z) = In( 7x2+ 8y2)i + 56xyj + In( 8y2+ 9z2)k F(x, y, z) = 9. [-/5 Points] DETAILS LARCALC11M 15.1.061. Find the divergence of the vector field F at the given point. F(x, y, z) = xyzi + xz/j + 3yz2k; (4, 2, 1)6. [-/5 Points] DETAILS LARCALC11 15.1.005. Match the vector field with its graph. F(x, y) - yi O of O -5+ O O