Overview
1. 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) = x3 ? 147xy + 343y3
Local Max value =
Local Min value =
saddle point =
.2.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) = y2 ? 8y cos(x),?1 ? x ? 7
Local Max value =
Local Min value =
saddle point =
3.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) = xy ? 4x ? 4y ? x2 ? y2
Local Max value =
Local Min value =
saddle point =