3. Let R be the region bounded by the graphs of 2 3 9 G₁: (²-)² + y² = ₁ and ₁1y = C₂:y: 4¹ (0, 0) 3x − 2² 3 as shown below. (3,0) (a) Set-up only the definite integral(s) that will give the area of region R using v rectangles. (b) Compute the length of the arc of the curve, C₂ from z=1 to z = 3.

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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3. Let R be the region bounded by the graphs of
2
9
-3)²- + y² = 2, and C₂ : y =
C₁: 1-
(0, 0)
C₂
C
3.22/
3
as shown below.
(3,0)
(a) Set-up only the definite integral(s) that will give the area of region R using vertical
rectangles.
(b) Compute the length of the arc of the curve, C₂ from z = 1 to z = 3.
Transcribed Image Text:3. Let R be the region bounded by the graphs of 2 9 -3)²- + y² = 2, and C₂ : y = C₁: 1- (0, 0) C₂ C 3.22/ 3 as shown below. (3,0) (a) Set-up only the definite integral(s) that will give the area of region R using vertical rectangles. (b) Compute the length of the arc of the curve, C₂ from z = 1 to z = 3.
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