GC The Arch Length of The Curve on The Given Interval Question

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 =