15. [-/2 Points] DETAILS SCALCETS 14.6.509.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the maximum rate of change of fat the given point and the direction in which it occurs. f(x, y, z) = by + 2y (1, 3, -1) maximum rate of change direction vector 16. [-/3 Points] DETAILS SCALCETS 14.7.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma- separated list. If an answer does not exist, enter DNE.) Ax, y) = 2x - 6x + 6xy] local maximum value(s) local minimum value(=) saddle point(s) (x, y, f) = 17. [-/3 Points] DETAILS SCALCET8 14.7.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter your answers as a comma- separated list. If an answer does not exist, enter DNE.) f(x, y) = 6y cos(x), 0 sx s 2n local maximum value(s) local minimum value(s) saddle point(S) ( x, y, f ) =