If the charge density at an arbitraiy point ( x, y. z ) of a solid E is given by the function ρ ( x , y , z ) then the total charge inside the solid is defined as the triple integral ∭ E ρ ( x , y , z ) d V . Assume that the charge density of the solid E enclosed by the paraboloids x = 5 − y 2 − z 2 and x = y 2 − z 2 − 5 is equal to the distance from an aibitraiy point of E to the origin. Set tip the integral that gives the total charge inside the solid E.
If the charge density at an arbitraiy point ( x, y. z ) of a solid E is given by the function ρ ( x , y , z ) then the total charge inside the solid is defined as the triple integral ∭ E ρ ( x , y , z ) d V . Assume that the charge density of the solid E enclosed by the paraboloids x = 5 − y 2 − z 2 and x = y 2 − z 2 − 5 is equal to the distance from an aibitraiy point of E to the origin. Set tip the integral that gives the total charge inside the solid E.
If the charge density at an arbitraiy point (x, y. z) of a solid E is given by the function
ρ
(
x
,
y
,
z
)
then the total charge inside the solid is defined as the triple integral
∭
E
ρ
(
x
,
y
,
z
)
d
V
. Assume that the charge density of the solid E enclosed by the paraboloids
x
=
5
−
y
2
−
z
2
and
x
=
y
2
−
z
2
−
5
is equal to the distance from an aibitraiy point of E to the origin. Set tip the integral that gives the total charge inside the solid E.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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