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98% 11:25 AMExpert Q&AAssume the region is bounded by the triangle withvertices (2,0, (6,0), (2,6). It helps to redraw a picture foreach case. Include the representative rectangle. Foreach of the following parts, set up the integral for thevolume but dont integrate.a.) which of the following pair of equations representsthe equation of the slanted line joining (6,0) and (2,6)?Circle one answer.3y =263269; x-2or3=--x + 9; x =y2b.) Revolve the enclosed region about the y-axis (usedisk or washer)c.) Revolve the enclosed region about the y-axis ( useshell)d.) Revolve the enclosed region about the line x-2 (useshell)e.) Revolve the enclosed region about the x-axis (usedisk or washer)

Question

Part d and e

98% 11:25 AM
Expert Q&A
Assume the region is bounded by the triangle with
vertices (2,0, (6,0), (2,6). It helps to redraw a picture for
each case. Include the representative rectangle. For
each of the following parts, set up the integral for the
volume but dont integrate.
a.) which of the following pair of equations represents
the equation of the slanted line joining (6,0) and (2,6)?
Circle one answer.
3
y =
2
6
3
2
6
9; x
-
2
or
3
=--x + 9; x =
y
2
b.) Revolve the enclosed region about the y-axis (use
disk or washer)
c.) Revolve the enclosed region about the y-axis ( use
shell)
d.) Revolve the enclosed region about the line x-2 (use
shell)
e.) Revolve the enclosed region about the x-axis (use
disk or washer)
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98% 11:25 AM Expert Q&A Assume the region is bounded by the triangle with vertices (2,0, (6,0), (2,6). It helps to redraw a picture for each case. Include the representative rectangle. For each of the following parts, set up the integral for the volume but dont integrate. a.) which of the following pair of equations represents the equation of the slanted line joining (6,0) and (2,6)? Circle one answer. 3 y = 2 6 3 2 6 9; x - 2 or 3 =--x + 9; x = y 2 b.) Revolve the enclosed region about the y-axis (use disk or washer) c.) Revolve the enclosed region about the y-axis ( use shell) d.) Revolve the enclosed region about the line x-2 (use shell) e.) Revolve the enclosed region about the x-axis (use disk or washer)

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check_circleAnswer
Step 1

(D) When the enclosed region revolve about x=2 line then the radius is on the line joining (2,0) and (6,0).

And the height is on the line joining (2,6),(6,0). 

 

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Step 2

Radius= x-2 

And to find the height we need the equation of the line joining (2,6),(6,0). That is y=(-3/2)x+9

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Step 3

Answer (D): That is the required...

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Tagged in

Math

Calculus

Integration

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