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1. 1. 2. 3. 4. Use Green's Theorem to evaluate the double integral. {image} C is a triangle with the vertices (0,0), (3,0) and (3, 3). Select the correct answer. The choices are rounded to the nearest hundredth. • {image} • {image} • {image} • {image}

2. Use Green's Theorem to evaluate the line integral along the given positively oriented curve. {image} and C is the boundary of the region enclosed by the parabola {image} and the line y = 49. • -200,312 • -100,156 • 201,684

3. 1. 2. 3. 4. Use Green's Theorem to evaluate the line integral along the given positively oriented curve. {image} and C is the boundary of the region between the circles {image} . Choose the correct answer. • {image} • {image} • {image} • {image}

4. 1. 2. 3. 4. A particle starts at the point (-1, 0),moves along the x - axis to (1, 0) and then along the semicircle {image} to the starting point. Use Green's Theorem to find the work done on this particle by the force field {image} Choose the correct answer. • {image} • 0 • {image} • {image}

5. 1. 2. 3. 4. Let D be a region bounded by a simple closed path C in the xy. Then the coordinates of the centroid {image} of D are {image} where A is the area of D. Find the centroid of the triangle with vertices (0, 0); (1, 0) and (0, 1). Choose the correct answer. • {image} • {image} • {image} • {image}