1. Region bounded by - 1-x and y = 0 y = a. revolved about the x-axis (Discs) b. revolved about y= -1 (Washers) Pogion houndad h

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
- V1-x² and y = 0
2. Region bounded by
y =
y=x+2, y=0,
and x=2
a. revolved about
the x-axis (Discs)
b. revolved about
y= -1 (Washers)
a. revolved about
the x-axis (Discs)
b. revolved about
y = 2 (Washers)
3. Region bounded by
1
4. Region bounded by 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
x=-1 (Washers)
Hint: You must rewrite
b. revolved about
y=5 (Washers)
y =
as a function of y.
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 - V1-x² and y = 0 2. Region bounded by y = y=x+2, y=0, and x=2 a. revolved about the x-axis (Discs) b. revolved about y= -1 (Washers) a. revolved about the x-axis (Discs) b. revolved about y = 2 (Washers) 3. Region bounded by 1 4. Region bounded by 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 x=-1 (Washers) Hint: You must rewrite b. revolved about y=5 (Washers) y = as a function of y.
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