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 tetrahedron in the first octant with vertices (0, 0, 0), (0, 2, 0) and (0, 0, 2)
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 tetrahedron in the first octant with vertices (0, 0, 0), (0, 2, 0) and (0, 0, 2)
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 the surfaces z = ey and z = 1 over the rectangle{(x, y): 0 ≤ x ≤ 1, 0 ≤ y ≤ ln 2}
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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