2) Consider the following jack-o-lantern in Figure]. Suppose that F. dr = F. dr = 2, F- dr = 3, F. dr = 7n. %3D C3 Use Green's Theorem to determine the circulation of F = P(x,y)i+Q(x,y)j around C1, assuming that = 10 in the orange region. A=2 A=2 3 C A=2 ‚A=1 Figure 1: Jack--Lantern: The orange circle has radius 6, the mouth opening is a half-circle of radius 3 (with two triangles removed), all triangles are equilateral triangles with areas as given in the figure. (Figure not drawn to scale.)
2) Consider the following jack-o-lantern in Figure]. Suppose that F. dr = F. dr = 2, F- dr = 3, F. dr = 7n. %3D C3 Use Green's Theorem to determine the circulation of F = P(x,y)i+Q(x,y)j around C1, assuming that = 10 in the orange region. A=2 A=2 3 C A=2 ‚A=1 Figure 1: Jack--Lantern: The orange circle has radius 6, the mouth opening is a half-circle of radius 3 (with two triangles removed), all triangles are equilateral triangles with areas as given in the figure. (Figure not drawn to scale.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2) Consider the following jack-o-lantern in Figurel. Suppose that
F. dr = 6 F- dr = 2, .
F- dr = 3,
F. dr = 7n.
C3
Use Green's Theorem to determine the circulation of F = P(x,y)i+ Q(x,y)j around C1, assuming
that Q
OP = 10 in the orange region.
A=2
A=2
3
A=2
A=1
3
Figure 1: Jack-O-Lantern: The orange circle has radius 6, the mouth opening is a half-circle of radius
3 (with two triangles removed), all triangles are equilateral triangles with areas as given in the figure.
(Figure not drawn to scale.)
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