A velocity field is defined by (a) V(x, y) -2 = Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the origin, x is constant along C₂ and y is constant along C3. 3 - 2x 0 C3 C₂₂ 2 X Figure Q3 Evaluate directly the line integral of V(x, y) along the path C₁.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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Please help with part b

A velocity field is defined by
(a)
V(x, y)
-2
=
Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the
origin, x is constant along C₂ and y is constant along C3.
3
-
2x
0 C3
C₂
12
X
Figure Q3
Evaluate directly the line integral of V(x, y) along the path C₁.
Transcribed Image Text:A velocity field is defined by (a) V(x, y) -2 = Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the origin, x is constant along C₂ and y is constant along C3. 3 - 2x 0 C3 C₂ 12 X Figure Q3 Evaluate directly the line integral of V(x, y) along the path C₁.
(b)
(c)
Evaluate directly the line integral of V(x, y) along the path C₂.
Using Green's theorem, evaluate the line integral of V(x, y) along the path C:.
Transcribed Image Text:(b) (c) Evaluate directly the line integral of V(x, y) along the path C₂. Using Green's theorem, evaluate the line integral of V(x, y) along the path C:.
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