14.7.1+2MaxMin

"lift" the domain onto the surface z=f(x,y)

Expression 11: "f" left parenthesis, "x" , "y" , right parenthesis left brace, "x" squared plus StartFraction, "y" squared Over 4 , EndFraction equals 1 , right brace

Expression 12: "f" left parenthesis, "x" , "y" , right parenthesis left brace, "x" squared plus StartFraction, "y" squared Over 4 , EndFraction less than 1 , right brace

Let's parameterize the boundary path on the surface.

Expression 14: "C" equals left parenthesis, cos "t" , 2 sin "t" , "f" left parenthesis, cos "t" , 2sin "t" , right parenthesis , right parenthesis

Expression 15: "t" equals 0

2 pi

Expression 16:

All Done .

Can ignore below.

Expression 19: "m" Subscript, "o" "b" "t" "u" "s" "e" , Baseline equals hsv left parenthesis, 60 , 0 , 1 , right parenthesis

Expression 20: "C" Subscript, "p" "i" "n" "k" , Baseline equals hsv left parenthesis, 310 , 0.8 , 1 , right parenthesis