1. [-/0.5 Points] DETAILS LARCALC11 15.8.007. Use Stokes's Theorem to evaluate F . dr. In this case, C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + 3zj + xk C: triangle with vertices (6, 0, 0), (0, 6, 0). (0, 0, 6) Need Help? Read It Submit Answer 2. [-/0.5 Points] DETAILS LARCALC11 15.8.009. Use Stokes's Theorem to evaluate F . dr. In this case, C is oriented counterclockwise as viewed from above. F(x, y, z) = 2'i+ 2xj + y-k S: z = 1 - x2 - y2, 2 2 0 Need Help? Read It Watch It 3. [-/0.5 Points] DETAILS LARCALC11 15.8.010. Use Stokes's Theorem to evaluate F . dr. Cis oriented counterclockwise as viewed from above. F(x,y,z) = 4xzi + yj + 4xyk 5: 2 = 9 - x2 - y2, 2 20 Need Help? Read It 4. [-/0.5 Points] DETAILS LARCALC11 15.8.011. Use Stokes's Theorem to evaluate F . dr. In this case, C is oriented counterclockwise as viewed from above. F( x , y, 2) = zi+ yi + zk 5: z = V 4 -x2 -21. [-/0.23 Points] DETAILS LARCALC11 15.7.003. Verify the Divergence Theorem by evaluating F . N ds as a surface integral and as a triple integral. F(x, y, 2) = 2xi - 2yj + zzk S: cube bounded by the planes x = 0, x = 1, y = 0, y = 1, z = 0, z = 1 1 Need Help? Read It Watch It2. [-/0.23 Points] DETAILS LARCALC11 15.7.004. Verify the Divergence Theorem by evaluating 1/ F . N dS as a surface integral and as a triple integral. F(x, y, 2) = 2xi - 2yj + z*k S: cylinder x- + y= = 16, 092 $ 5 B -4 -3 -3 -2 - 2 1 2 4 Need Help? Read It Watch It3. [-/0.23 Points] DETAILS LARCALC11 15.7.005. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. F(x, y, z) = (2x - y)i - (2y - z)j + zk S: surface bounded by the plane 5x + 10y + 52 = 30 and the coordinate planes 8; 6 Z/ 4 2 2 4 y Need Help? Read It Watch It 4. [-/0.23 Points] DETAILS LARCALC11 15.7.006. Verify the Divergence Theorem by evaluating 1 / F . N dS as a surface integral and as a triple integral. F(x, y, z) = xyi + zj + (x + y)k S: surface bounded by the planes y = 8 and z = 8 - x and the coordinate planesas a surface integral and as a triple integral. F(x, y, z) = xyi + zj + (x + y)k 5: surface bounded by the planes y = 8 and z = 8 - x and the coordinate planes Need Help? Read It Watch It 5. [-/0.23 Points] DETAILS LARCALC11 15.7.007. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. F(x, y, z) = xzi + zyj + 2z-k S: surface bounded by z = 9 - x2 - y and z = 0E. [40.23 Points] DETAILS LARCALEH 15.1008. Verify the Divergence Theorem by evaluating jg'meds as a surface integral and as a triple integral. FLY. r. 2) = 902i + yxzj + el: 5: surface bounded by z = q; x2 +y2 and z = 4 Need Help? T. [40.23 Points] DETAILS LARCALEH 15.1009. Use the Divergence Theorem to evaluate lmeds and find the outward flux of F through the surface of the solid 8 bounded by the graphs of the equations. Use a computer algebra system to verify your results. FLY, y, 2) = xii + yzj + 22k S:X=D,x=a,y=D,y=a,2=rz=a :| Need Help? 8. [-/0.23 Points] DETAILS LARCALC11 15.7.010.MI. Use the Divergence Theorem to evaluate F . N dS and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = x-zzi - Byj + 3xyzk 5: x = 0, x = a, y = 0, y = a, 2 = 0, 2 = a Need Help? Read It Master It 9. [-/0.23 Points] DETAILS LARCALC11 15.7.011. Use the Divergence Theorem to evaluate 1 / F . N dS and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, 2) = x2i - 2xyj + xyzzk 5: z = Va2 - x2 - y2, 2 = 0 Need Help? Read It Watch It 10. [-/0.23 Points] DETAILS LARCALC11 15.7.012. Use the Divergence Theorem to evaluate 1 / F . N dS and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = xyi + yzj - yzk 5: 2= Va2 - x2 - y2, 2=011. [-/0.23 Points] DETAILS LARCALC11 15.7.013. Use the Divergence Theorem to evaluate 1 / F . N ds and find the outward flux of F through the surface of the solid $ bounded by the graphs of the equations. Use a computer algebra system to verify your results. F (x, y, z) = xi + yj + zk 5: x2 + y2 + 22 = 4 Need Help? Read It Watch It 12. [-/0.23 Points] DETAILS LARCALC11 15.7.014. Use the Divergence Theorem to evaluate 1 / F . N ds and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F(x, y, z) = xyzj Six' + yz = 9, 2 = 0, 2 =7 Need Help? Read It Watch It 13. [-/0.24 Points] DETAILS LARCALC11 15.7.015. Use the Divergence Theorem to evaluate and find the outward flux of F through the surface of the solid S bounded by the graphs of the equations. Use a computer algebra system to verify your results. F (x , y, z) = xi+ yj - zk 5: x2 + y2 = 9, 2 = 0, z = 12