(у, — 2х) F C: r(t) = (2 cos t, 4 sin t), for 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 54E
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Flux Consider the vector fields and curve.
a. Based on the picture, make a conjecture about whether the outward
flux of F across C is positive, negative, or zero.
b. Compute the flux for the vector fields and curves.

F and C given

(у, — 2х)
F
C: r(t) = (2 cos t, 4 sin t), for 0 <is 2m
V4r? + y
(y. –2x)
F =
yA
V4x2 +
y²
C: r(t) = (2 cos t, 4 sin t)
Transcribed Image Text:(у, — 2х) F C: r(t) = (2 cos t, 4 sin t), for 0 <is 2m V4r? + y (y. –2x) F = yA V4x2 + y² C: r(t) = (2 cos t, 4 sin t)
Expert Solution
Step 1

Given: F=y, -2x4x2+y2, C:2 cost, 4sint, 0t2π

a. Whether flux is positive, negative, or zero.(Based on picture)

b. Calculate flux.

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