III. Consider the region R below bounded by the curves C₁ : x – 4y = 4, C₂ : y = √x – 1, and C3 : x + 2y = 4. (2,1) R (4,0) (0, -1) Set up a (sum of) definite integral(s) equal to the following: 1. the length of the portion of the boundary of R that lies on C₂ 2. the area of R, using horizontal strips 3. the volume of the solid generated when R is revolved about the line y = 2, using the method of washers
III. Consider the region R below bounded by the curves C₁ : x – 4y = 4, C₂ : y = √x – 1, and C3 : x + 2y = 4. (2,1) R (4,0) (0, -1) Set up a (sum of) definite integral(s) equal to the following: 1. the length of the portion of the boundary of R that lies on C₂ 2. the area of R, using horizontal strips 3. the volume of the solid generated when R is revolved about the line y = 2, using the method of washers
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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