3. Region bounded by y y=x and y = 2x a. revolved about the x-axis (Washers) b. revolved about y=5 (Washers)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
Problem 4A: A rectangular solid has length L=12.6 mm, width W=23.8 mm, and height H=32.5 mm. Find the length of...
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#3
For Problems 1-4, use discs or washers to set up (but not integrate) integrals for finding
volumes of the solids described. Re-sketch each figure on your assignment sheet, show
at least one representative rectangle, and label the radii for each figure.
1. Region bounded by
y = 1-x and y = 0
2. Region bounded by
y=x+2, y=0,
a. revolved about
the x-axis (Discs)
b. revolved about
y= -1 (Washers)
and x=2
a. revolved about
the x-axis (Discs)
b. revolved about
y = 2 (Washers)
1
3. Region bounded by
4. Region bounded by y =:
y
y =x and y = 2x
x=0, y=1, and y=4
a. revolved about
the y-axis (Discs)
a. revolved about
the x-axis (Washers)
b. revolved about
y=5 (Washers)
b. revolved about
x=-1 (Washers)
Hint: You must rewrite
y =
as a function of v.
Transcribed Image Text:For Problems 1-4, use discs or washers to set up (but not integrate) integrals for finding volumes of the solids described. Re-sketch each figure on your assignment sheet, show at least one representative rectangle, and label the radii for each figure. 1. Region bounded by y = 1-x and y = 0 2. Region bounded by y=x+2, y=0, a. revolved about the x-axis (Discs) b. revolved about y= -1 (Washers) and x=2 a. revolved about the x-axis (Discs) b. revolved about y = 2 (Washers) 1 3. Region bounded by 4. Region bounded by y =: y y =x and y = 2x x=0, y=1, and y=4 a. revolved about the y-axis (Discs) a. revolved about the x-axis (Washers) b. revolved about y=5 (Washers) b. revolved about x=-1 (Washers) Hint: You must rewrite y = as a function of v.
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