MTH122 Survey of Calculus and Its Applications II Quiz 2 January 3 2024 Problem 1 4 points Find the values of x y that minimize x2 xy y2 2x 5y subject to the constraint 1 x y 0 Also please find such minimum value Problem 2 3 points Use method of least square error to find the equation of the line which best approx imates the following data points 1 8 2 4 4 3 Hint set up the least square error E in terms of A and B and then use partial derivatives Problem 3 3 points Suppose that f x y is a function defined by f x y x4 4xy y4 Suppose f has critical points at 0 0 1 1 1 1 Use the second derivative test to determine if at each of these points f has a local maximum minimum or saddle 1