Average Value In Exercises 63-66, find the average value of the function over the given solid region. The average value of a continuous function f ( x, y, z ) over a solid region Q is Average value = 1 V ∭ Q f ( x , y , z ) d V where V is the volume of the solid region Q . f ( x , y , z ) = x y z over the cube in the first octant bounded by the coordinate planes and the planes x = 4 , y = 4 , and z = 4
Average Value In Exercises 63-66, find the average value of the function over the given solid region. The average value of a continuous function f(x,y,z) over a solid region Q is
Average
value
=
1
V
∭
Q
f
(
x
,
y
,
z
)
d
V
where V is the volume of the solid region Q.
f
(
x
,
y
,
z
)
=
x
y
z
over the cube in the first octant bounded by the coordinate planes and the planes
x
=
4
,
y
=
4
, and
z
=
4
Finding the Volume of a Solid In Exercises 17-20, find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line y = 4.y =1/2x3, y = 4, x = 0
Volumes of solids Use a triple integral to find the volume of thefollowing solid.
The solid bounded by x = 0, x = 2, y = 0, y = e-z, z = 0, and z = 1
Volumes of solids Use a triple integral to find the volume of thefollowing solid.
The solid bounded by x = 0, x = 2, y = z, y = z + 1, z = 0, and z = 4
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Area Between The Curve Problem No 1 - Applications Of Definite Integration - Diploma Maths II; Author: Ekeeda;https://www.youtube.com/watch?v=q3ZU0GnGaxA;License: Standard YouTube License, CC-BY