need someone to check my work: Finding the exact coordinates of the centroid

jimen113

1. The problem statement, all variables and given/known data[/b]
Sketch the region bounded by the curves, and visually estimate the location of the centroid. Then find the exact coordinates of the centroid:


2. Relevant equations
I don't have the answer for this problem to check my work.


3. The attempt at a solution
see attachment

Attached Thumbnails

 

HallsofIvy

For [itex]\overline{x}[/itex], I would suggest that leaving the answer as 1/ln(2) would be preferable to "1.44".

For [itex]\overline{y}[/itex], (1/2)² seems to mysteriously become (1/2).