A corporation has seven available positions YI, Y2, ... , Y7 and there are ten applicants Xl, X2, . .. , XIO. The set of positions each applicant is qualified for is given, respectively, by {YI, Y2, Y6}, {Y2, Y6, Y7}, {Y3, Y4}, {Yl, Y5}, {Y6, Y7}, {Y3}, {Y2, Y3}, {YI, Y3}, {yd, {Y5}. Determine the largest number of positions that can be filled by the qualified applicants and justify 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.