Find the critical point of the function. then use the second derivative test to classify the nature of this point, if possible. (if an answer does not exist, enter dne.)f(x, y) = x2 + 2xy + 2y2 − 6x + 10y + 9(x, y) = correct: your answer is correct. finally, determine the relative extrema of the function. (if an answer does not exist, enter dne.)

Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x. the time of trip 2 is hours. the distance of trip 1 is km.