Consider the graph of an ellipse C, oriented counterclockwise. Graphs of the vector fields F,, F,, F, and F, along the curve C are given (see figures). Along C, F, and F, are tangent to C, and F, and F, are normal to C. Determine whether the following integrals are positive, negative, or equal to 0. b. F, · T ds JF T ds а. ·T ds с. C d. F -T ds F -n ds f. F,•n ds е. g. F•n ds h. Fn ds Vectors of F1 along C Vectors of F2 along C Vectors of F3 along C Vectors of F4 along C

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the graph of an ellipse C, oriented counterclockwise.
Graphs of the vector fields F,, F,, F, and F, along the curve C are
given (see figures). Along C, F, and F, are tangent to C, and F,
and F, are normal to C. Determine whether the following integrals
are positive, negative, or equal to 0.
b. F, · T ds
JF T ds
а.
·T ds
с.
C
d.
F -T ds
F -n ds
f.
F,•n ds
е.
g.
F•n ds
h. Fn ds
Vectors of F1 along C
Vectors of F2 along C
Vectors of F3 along C
Vectors of F4 along C
Transcribed Image Text:Consider the graph of an ellipse C, oriented counterclockwise. Graphs of the vector fields F,, F,, F, and F, along the curve C are given (see figures). Along C, F, and F, are tangent to C, and F, and F, are normal to C. Determine whether the following integrals are positive, negative, or equal to 0. b. F, · T ds JF T ds а. ·T ds с. C d. F -T ds F -n ds f. F,•n ds е. g. F•n ds h. Fn ds Vectors of F1 along C Vectors of F2 along C Vectors of F3 along C Vectors of F4 along C
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