8) Consider the oriented curve C given by C=C₁U C2, where C₁: y = x³, and C₂: y = x², as shown in the following figure: An expression that calculates the value of √(x² − y²) dx + (2y − x) dy corresponds to: A) ff (2² (2x - 2) dy dx x3 B) The (2y - 1) dy dx C) ) f ² (2x - 2) (2x - 2) dx dy 3/4 Y C₂ C₁ X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 33E
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8) Consider the oriented curve C given
by C=C₁U C2, where C₁: y = x³, and
C₂: y = x², as shown in the following
figure:
An expression that calculates the value of
√ √(x² − y²) dx + (2y − x) dy
corresponds to:
A) [²²
(2x - 2) dy dx
23
B) f f (2y - 1) dy dx
c) √ √² (2x - 2) dx dy
3/4
D)
(24-1) dy d
dx
Y
C₂
C₁
X
Transcribed Image Text:8) Consider the oriented curve C given by C=C₁U C2, where C₁: y = x³, and C₂: y = x², as shown in the following figure: An expression that calculates the value of √ √(x² − y²) dx + (2y − x) dy corresponds to: A) [²² (2x - 2) dy dx 23 B) f f (2y - 1) dy dx c) √ √² (2x - 2) dx dy 3/4 D) (24-1) dy d dx Y C₂ C₁ X
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