Sketch the region of integration. Write an equivalent iterated integral with the order of integration reversed. Choose one of the two orders of integration and evaluate the iterated integral you chose by hand. Explain the reasoning behind your choice. Determine the exact average value of cos ( y 3 ) over the region D that is determined by the iterated integral I .

answer: 1) twenty-seven times y

              2) twenty-seven multiplied by y

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,