Suppose div f = xyz2. (a) find div f at the point (1, 3, 1). (note: you are given div f, not f.) div f (1, 3, 1) = (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 0.2 centered at the point (1, 3, 1) 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.)

You want to lose weight and have been trying to decide which type of fad diet is best for you. you ask your doctor, who responds that a. fad diets are a temporary fix but generally don't have any side effects b. fad diets can be used several times a year to maintain a healthy weight c. fad diets can be risky for your health and, in the long run, do not work d. fad diets should never be used one right after the other; there should be a break between them select the best answer from the choices provided. a b c d