{image} {image} {image} {image}

1. 1. 2. 3. 4. Use Stokes' Theorem to evaluate {image} {image} S is a part of the hemisphere {image} that lies inside the cylinder {image} oriented in the direction of the positive x - axis. • {image} • {image} • {image} • {image}

2. Use Stokes' Theorem to evaluate {image} {image} C is the triangle with vertices (8, 0, 0); (0, 8, 0) and (0, 0, 10). C is oriented counterclockwise as viewed from above. Select the correct answer. The choices are rounded to the nearest hundredth. • -3,145.33 • -3,116.33 • -3,148.33 • -3,125.33 • -3,111.33 • -8,750.33

3. 1. 2. 3. Use Stokes' Theorem to evaluate {image} {image} C the boundary of the part of the paraboloid {image} in the first octant. C is oriented counterclockwise as viewed from above. • {image} • {image} • {image}

4. 1. 2. 3. 4. Use Stokes' Theorem to evaluate {image} where {image} C is the curve of intersection of the hyperbolic paraboloid {image} and the cylinder {image} oriented counterclockwise as viewed from above. • {image} • {image} • {image} • {image}

5. 1. 2. 3. 4. Calculate the work done by the force field {image} when a particle moves under its influence around the edge of the part of the sphere {image} that lies in the first octant, in a counterclockwise direction as viewed from above. Select the correct answer. The choices are rounded to the nearest hundredth. • {image} • {image} • {image} • {image}