Answer to Question #252682 in Differential Geometry | Topology for saliha

Question

Find the level curve each of function at indicated point? (a) 𝒇(𝒙, 𝒚) = 𝒙 𝟐 − 𝒚 𝟐 , 𝒂𝒕 𝒄 = 𝟏. (b) 𝒈(𝒙, 𝒚) = 𝒆 𝒙𝒚 , 𝒂𝒕 𝒄 = 𝟎. 𝟓, 𝟑. (c) 𝒉(𝒙, 𝒚) = 𝒍𝒏 (𝒙 𝟐 + 𝒚 𝟐 ) 𝒂𝒕 𝒄 = −𝟏, 𝟎, 𝟏. 

Answer 1

$a)x^2-y^2=1\\ b)e^{xy}=0\\ C)In(x^2+y^2)=-1\\ In(x^2+y^2)=0\\ C)In(x^2+y^2)=1$