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I. Differentiation – 1. Kontinuitet 15
Niveaukurver er cirkler
= {(x,y,z)|x 2 + y 2 + z 2 = 9,z ≥ 0}
g −1 (k) = {(x,y)|x 2 + y 2 ≤ 9, 9 − x 2 − y 2 = k}
= {(x,y)|x 2 + y 2 = 9 − k 2 }
1.10. Globus ☞ [S] 11.1 Functions of several variables
Figur
z
x
Grafen for g(x,y) = 9 − x 2 − y 2
1.11. Breddegrader ☞ [S] 11.1 Functions of several variables
y