Based on the graph, make a conjecture about whether the flow and flux of F = (-y, x) along and across Cr(t) (2 cos(t), 2 sin(t)) for = П 3πT

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question

Show all steps. Correct answer are: flow = 14pi/3; flux = 0

Based on the graph, make a conjecture about whether the flow and flux of F = (-y, x) along and across
Cr(t) (2 cos(t), 2 sin(t)) for
=
П
3πT
<t≤
is positive, negative, or zero.
3
2
2
Then
a. Compute the flow and interpret the result.
Flow = 32
14
X] Ꮉ
πT
3
b. Compute the flux and interpret the result.
Flux = 235
X 0 0
Transcribed Image Text:Based on the graph, make a conjecture about whether the flow and flux of F = (-y, x) along and across Cr(t) (2 cos(t), 2 sin(t)) for = П 3πT <t≤ is positive, negative, or zero. 3 2 2 Then a. Compute the flow and interpret the result. Flow = 32 14 X] Ꮉ πT 3 b. Compute the flux and interpret the result. Flux = 235 X 0 0
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