Integration Prob.
a)Let T(x,y) = 120+30x^2-18y be the temperature at a point (x,y) on a metal plate D in the shape of a triangle with vertices (0,0),(1,0),(1,1). Compute the average temperature T on the plate.

b) Identify any points on the plate where the temperature is equal to the average temperature.

Question

Integration Prob.
a)Let T(x,y) = 120+30x^2-18y be the temperature at a point (x,y) on a metal plate D in the shape of a triangle with vertices (0,0),(1,0),(1,1). Compute the average temperature T on the plate.

b) Identify any points on the plate where the temperature is equal to the average temperature.

anonymous · Answer

i got 56.5 for part a, which i believe is correct, but i don't really know how to answer part b

anonymous · Answer

i think for b, there does not exist any point on the plate define by D that has temperature thats the same as the average temperature, since T is continuous and if any single point has a nonzero value than the integral would be infinity......im not sure im in the right direction or if i am using the correct theories...

anonymous · Answer

btw, D should be:
|dw:1354092660539:dw|

anonymous · Answer

attachment

anonymous · Answer

o damn.....
that's really......
not practical lol
*goes to seek another method*
thx for trying though

anonymous · Answer

lol it took a lot of my time mannnnnnnnnnnnnn

anonymous · Answer

=p
sorry, but i seriously doubt this is the only method

anonymous · Answer

of course it's not....anyway good luck

anonymous · Answer

btw, what tools did you used?

anonymous · Answer

what can be a more powerful one than my MIND?lol

anonymous · Answer

=p