URGENT

Mr. Carter wants to determine the probabilities for students choosing a hamburger or a hot dog at the school picnic.

Explain how Mr. Carter could create a simulation for this using a coin.
Should Mr. Carter flip the coin 5 times or 50 times to get the best results in this simulation? Explain your answer.

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.