تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
(1 point) The volume of the solid obtained by rotating the region enclosed by
about the line y =
=
1
y
y= 0, x 3,
=
and x = 8,
-4 can be computed using the method of disks or washers via an integral
with limits of integration a =
and b
=
V
=
L
dx ▾
(3 points) Consider the area between the graphs x + 3y = 2 and x+8=y². This area can be computed in two different ways using integrals.
First of all it can be computed as a sum of two integrals
where a =
f(x) =
g(x)
==
,b=
Alternatively this area can be computed as a single integral
where a =
h(y) =
Either way we find that the area is |
B =
and
LFO
f(x) dx +
√ 9(2
9(x) dx
B
h(y) dy
and
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