Verify green's theorem for the line integral (we are going to drop the "o" for orientation on integral signs - everything we now do must be properly oriented) | r’ydx – z> y? dy jc where c consists of the parabola y = x2 – 4 from (3,5) to (-3,5) and the line segment from (3,5) to (-3,5).

What signals you that factoring by grouping is the best method to use when factoring a problem?

Arestaurant offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entrée, and 4 choices for a dessert. how many different meals are available when you select an appetizer, an entrée, and a dessert? a meal can be chosen in nothing ways. (type a whole number.)

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)