Base on the graph, make a conjecture about whether the flow and flux of F = (x, y) along and across 3πT 5πT C: (t) = (4 cos(t), 4 sin(t)) for

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.
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Show all steps. Correct flow = 4. Correct flux = 1.0717967

Base on the graph, make a conjecture about whether the flow and flux of F = (x, y) along and across
3πT
5πT
C: (t) = (4 cos(t), 4 sin(t)) for
<t≤
is positive, negative, or zero.
4
6
4
3
2.
-2'
-3
1
Then
a. Compute the flow and interpret the result.
Flow = 12
42
4
b. Compute the flux and interpret the result.
Flux = 12
√3.42
4
+
42
-
2
=
1.0717967697245
Transcribed Image Text:Base on the graph, make a conjecture about whether the flow and flux of F = (x, y) along and across 3πT 5πT C: (t) = (4 cos(t), 4 sin(t)) for <t≤ is positive, negative, or zero. 4 6 4 3 2. -2' -3 1 Then a. Compute the flow and interpret the result. Flow = 12 42 4 b. Compute the flux and interpret the result. Flux = 12 √3.42 4 + 42 - 2 = 1.0717967697245
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