11:00 flexbooks.ck12.org E Apply the equation from above and find the volume generated when the region between the graphs f(x) = x² + 1 and g(x) = x over the interval [0,3] is revolved about the x-axis. f(x) g(x) G [Figure 3] Because the revolution is about the x-axis, the volume is determined as follows: b V(x) = [ ˜([f(x)]² — [9(x)]²)dx Mute me = · a 3 3 - π((x² + 1)² − (x)²)dx − Ĵm(z² 0 - π(x² + x² + 1)dx 303πT = 5 πT Volume of Revolution - The W... Mathispower4
11:00 flexbooks.ck12.org E Apply the equation from above and find the volume generated when the region between the graphs f(x) = x² + 1 and g(x) = x over the interval [0,3] is revolved about the x-axis. f(x) g(x) G [Figure 3] Because the revolution is about the x-axis, the volume is determined as follows: b V(x) = [ ˜([f(x)]² — [9(x)]²)dx Mute me = · a 3 3 - π((x² + 1)² − (x)²)dx − Ĵm(z² 0 - π(x² + x² + 1)dx 303πT = 5 πT Volume of Revolution - The W... Mathispower4
11:00 flexbooks.ck12.org E Apply the equation from above and find the volume generated when the region between the graphs f(x) = x² + 1 and g(x) = x over the interval [0,3] is revolved about the x-axis. f(x) g(x) G [Figure 3] Because the revolution is about the x-axis, the volume is determined as follows: b V(x) = [ ˜([f(x)]² — [9(x)]²)dx Mute me = · a 3 3 - π((x² + 1)² − (x)²)dx − Ĵm(z² 0 - π(x² + x² + 1)dx 303πT = 5 πT Volume of Revolution - The W... Mathispower4
Instead of doing disk washer method to find volume for this. How can you find volume using vector calculus on this particular problem? Th
Transcribed Image Text:11:00
flexbooks.ck12.org
E
Apply the equation from above and find the
volume generated when the region between the
graphs f(x) = x² + 1 and g(x) = x over the
interval [0,3] is revolved about the x-axis.
f(x)
g(x)
G
[Figure 3]
Because the revolution is about the x-axis, the
volume is determined as follows:
b
V(x) = [ ˜([f(x)]² — [9(x)]²)dx
Mute me
=
·
a
3
3
-
π((x² + 1)² − (x)²)dx
− Ĵm(z²
0
-
π(x² + x² + 1)dx
303πT
=
5
πT
Volume of Revolution - The W...
Mathispower4
Calculus that deals with differentiation and integration of the vector field in three-dimensional Euclidean space. It deals with quantities that have both magnitude and direction.
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![11:00
flexbooks.ck12.org
E
Apply the equation from above and find the
volume generated when the region between the
graphs f(x) = x² + 1 and g(x) = x over the
interval [0,3] is revolved about the x-axis.
f(x)
g(x)
G
[Figure 3]
Because the revolution is about the x-axis, the
volume is determined as follows:
b
V(x) = [ ˜([f(x)]² — [9(x)]²)dx
Mute me
=
·
a
3
3
-
π((x² + 1)² − (x)²)dx
− Ĵm(z²
0
-
π(x² + x² + 1)dx
303πT
=
5
πT
Volume of Revolution - The W...
Mathispower4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc158a850-76a9-4504-97b9-8593e0926539%2Fddf750ff-e23a-4d3c-a4ee-4bf601c1ed67%2Fldyhtma_processed.png&w=3840&q=75)
