Bill and matt are discussing their children. bill tells matt that he has 3 kids, and the product of their ages is 72. he also tells him the sum of the ages of his kids. matt says there is still not enough information to correctly guess the ages of bill's kids. finally, bill says, my youngest child's name is joy. matt can then correctly guess. what are the ages?

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.