1. Find: a. // F· dS, where F(x, y, z) = (z, z, y) and M is the outward oriented surface of the cube centered at the origin with faces parallel to the coordinate planes and of side JJM length 2. b. the flux of the field F(x, y, z) = (x2 + y,zz,-x-H) through the surface of the solid in R3 above the xy-plane but below the graph of z = 4-x2-y2, oriented outward. // ( ⽠à F)· minus the top face. ds, where F(x, y, z) = (ey, e", e*) and M is the surface from part a. c. JJM d. 7. dr, where F(x, y, z)-(arctan(2,2), ey2,5y + z3) and C is the oriented curve comprised of three line segments connecting, in order, (1,0,0), (0, 1,0), and (0,0, 1). (Hint: What does this have to do with the plane parameterized by r(x,y) = (x,y, 1-x-y)?)