Suppose div F = xyz2. (a) Find div F at the point (1, 2, 2). (Note: you are given div F, not F.) div F (1, 2, 2) = 8 Correct: Your answer is correct. (b) Using your answer to part (a), but no other information about the vector field F, estimate the flux out of a small box of side 0.4 centered at the point (1, 2, 2) and with edges parallel to the axes. (c) Without computing the vector field F, calculate the exact flux out of the box. (Round your answer to five decimal places.)

The height of a birch tree, f(x), in inches, after x months is shown in the graph below. how much does the birch tree grow per month, and what will be the height of the birch tree after 10 months? a. the birch tree grows 1 inch per month. the height of the birch tree will be 16 inches after 10 months. b. the birch tree grows 2 inches per month. the height of the birch tree will be 26 inches after 10 months. c. the birch tree grows 3 inches per month. the height of the birch tree will be 36 inches after 10 months. d. the birch tree grows 2 inches per month. the height of the birch tree will be 24 inches after 10 months.