1. [-/0.66 Points] DETAILS MY NOTES PRACTICE ANOTHER Use Stokes' Theorem to evaluate 1/5 Curl F . as. F(x, y, z) = zeyi + x cos(y)j + xz sin(y)k, S is the hemisphere x2 + y2 + z2 = 4, y 2 0, oriented in the direction of the positive y-axis. Need Help? Read It Submit Answer 2. [-/0.66 Points] DETAILS MY NOTES PRACTICE ANOTHER Use Stokes' Theorem to evaluate 1/ curl F . as. F(x, y, z) = x2z2i + yazzj + xyzk, S is the part of the paraboloid z = x2 + y2 that lies inside the cylinder x2 + y2 = 9, oriented upward. Need Help? Read It Watch It3. [-/0.68 Points] DETAILS MY NOTES PRACTICE ANOTHER Use Stokes' Theorem to evaluate F . dr where C is oriented counterclockwise as viewed from above. F(x, y, Z) = (x + y2)i+ (y+ z2)j+ (z+ x2)k, C is the triangle with vertices (3, 0, 0), (0, 3, 0), and (0, 0, 3). Need Help? Read It Watch It Master It Submit AnswerUse the Divergence Theorem to calculate the surface integral ff F - dS; that is, calculate the flux of F across 5. s F(X, y, z) = 12x3zi + 12y3zj + 924k, 5 is the sphere with radius R and center the origin. Z Need Help? Use the Divergence Theorem to calculate the surface integral ff F - d5; that is, calculate the flux of F across 5. 5 F09 y, z) = (x3 + y3)i + (y3 + 23)J' + (z3 + x3)k, S is the sphere with center the origin and radius 3. Z Need Help