Please solve this question in 35 Minutes Question 4 Let Y define the surface Y: z=(x^2-y^2)/2 (x^2+y^2 less than or equal to 1) The surface is oriented in a way so that the unitnormal N has a positive z-component. Decide the flow of the vectorfield by the surface Y which means that you have to calculate the integral

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Chapter2: Second-order Linear Odes
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Please solve this question in 35 Minutes Question 4 Let Y define the surface Y: z=(x^2-y^2)/2 (x^2+y^2 less than or equal to 1) The surface is oriented in a way so that the unitnormal N has a positive z-component. Decide the flow of the vectorfield by the surface Y which means that you have to calculate the integral
4. Låt Y beteckna ytan
x²
Y: z
(x² + y? < 1)
2
som är orienterad så att enhetsnormalen N har positiv z-komponent. Bestäm flö-
det av vektorfältet
F(x, y, z) = yi + (x + y)j+ 2z k
genom ytan Y, d v s beräkna integralen
F.ÑdS.
Transcribed Image Text:4. Låt Y beteckna ytan x² Y: z (x² + y? < 1) 2 som är orienterad så att enhetsnormalen N har positiv z-komponent. Bestäm flö- det av vektorfältet F(x, y, z) = yi + (x + y)j+ 2z k genom ytan Y, d v s beräkna integralen F.ÑdS.
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