flux and parametrization....please help!

[Z&E]

Consider a single heat source located at the origin with temperature



T(x,y,z)= 25/?(x2 +y2 +z2)





a)Calculate the heat flux across the surface





S={(x,y,x): z= ?(1-x2-y2), x2 +y2 <=1}





b) Repeat the calculation in part (a) using the parametrization





x= sinu cosv, y= sinu sinv, z= cosu, 0<= u <= ?/2, 0<= v <=2?

 

[Deleted member 4993]

Consider a single heat source located at the origin with temperature

T(x,y,z)= 25/?(x2 +y2 +z2)

a)Calculate the heat flux across the surface

S={(x,y,x): z= ?(1-x2-y2), x2 +y2 <=1}

b) Repeat the calculation in part (a) using the parametrization

x= sinu cosv, y= sinu sinv, z= cosu, 0<= u <= ?/2, 0<= v <=2?

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