Home page for accesible maths
2
Chapter 2 contents
2.1
Functions of two variables
2.3
Partial derivatives
Style control - access keys in brackets
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2.2
Paraboloid
Example
.
z
=
x
2
+
y
2
z=x^{2}+y^{2}
gives a paraboloid, a bowl-shaped figure.
\curve
(30,101,40,84,50,69,60,56,70,45,80,36,90,29,100,24,110,21, 120,20,130,21,140,24,150,29,160,36,170,45,180,56,190,69,200,84,210,101)
\curve
(30,101,31,98.8,31.5,98.4,32.2,97.7,32.9,97.2,34,96.6,35,96.1,36,95.6, 38,94.8,40,94.1,45,92.7,50,91.6,60,89.8,75,88,90,86.9,105,86.2,120,86, 135,86.2,150,86.9,165,88,180,89.8,190,91.6,195,92.7,200,94.1,202,94.8,204,95.6, 205,96.1,206,96.6,207.1,97.2,207.8,97.7,208.5,98.4,209,98.8,210,101, 209,103.2,208.5,103.6,207.8,104.3,207.1,104.8,206,105.4,205,105.9,204,106.4, 202,107.2,200,107.9,195,109.3,190,110.4,180,112.2,165,114,150,115.1,135,115.8, 120,116, 105,115.8,90,115.1,75,114,60,112.2,50,110.4,45,109.3,40,107.9,38,107.2,36,106.4, 35,105.9,34,105.4,32.9,104.8,32.2,104.3,31.5,103.6,31,103.2,30,101)
\curve
(220,20,210,15)
\curve
(220,20,210,25)
\curve
(120,136,115,126)
\curve
(120,136,125,126)
\curve
(230,75,228,68)
\curve
(230,75,222,74)
z
z
x
x
y
y