In: Math
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) = 7y cos(x), 0 ≤ x ≤ 2π
local maximum value(s) | |||
local minimum value(s) | |||
saddle point(s) | (x, y, f) | = |
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) = 4 − x4 + 2x2 − y2
local maximum value(s) | |||
local minimum value(s) | |||
saddle point(s) |
(x, y, f) = |