Svar Övning 3.3.1

SamverkanFlervariabelanalysLIU

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a) \displaystyle D_f=\{(x,y)\in\mathbb{R}^2:\, (x-1)^2+(y-2)^2\le2\}. \displaystyle V_f=[0,\sqrt{2}].

b) \displaystyle D_f=\{(x,y)\in\mathbb{R}^2:\, -1\le x+2y\le 1\}. \displaystyle V_f=[-\frac{\pi}{2},\frac{\pi}{2}].

c) \displaystyle D_f=\{(x,y,z)\in\mathbb{R}^3:\, xyz> 0\}. \displaystyle V_f=]-\infty,\infty[.