Find the volume of the region bounded by the coordinate planes and the planes z=x+y,z=3 A) 2
27
​
B) 4
27
​
C) 2
9
​
D) 9 Find the moment of inertia about the y-axis of a lamina in the first quadrant bounded by the coordinate axes and the curve y=e −4x
if δ(x,y)=xy. A) 1y= 512
3
​
B) 1y+ 1280
3
​
C) 1 y 4096
3
​
D) 1, 4096
5
​
Find the center of mass of the region of constant density bounded by the paraboloi z=25−x 2
−y 2
and the xy-plane. A) x
ˉ
=0 y
ˉ
​
=0, z
ˉ
= 2
25
​
B) x
ˉ
=0, y
ˉ
​
=0, z
ˉ
= 3
25
​
C) x
ˉ
⋅0 y
ˉ
​
⋅0⋅ z
ˉ
= 3
5
​
D) x
ˉ
=0 y
​
=0 z
⋅ 2
5
​