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-yi + xj 2. Find the flux of F across the curve C given by r(t) = a cos(t)i+a sin(t)j, VI² + y² for 0

-yi + xj 2. Find the flux of F across the curve C given by r(t) = a cos(t)i+a sin(t)j, VI² + y² for 0

Advanced Engineering Mathematics
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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-yi + xj 2. Find the flux of F across the curve C given by r(t) = a cos(t)i+a sin(t)j, Vr² + y² for 0<t< 2n.
Transcribed Image Text:-yi + xj 2. Find the flux of F across the curve C given by r(t) = a cos(t)i+a sin(t)j, Vr² + y² for 0<t< 2n.
Expert Solution
Given

F=-y i+x jx2+y2,    r(t)=a cos(t) i +a sin(t) j

0≤t≤2π

x(t)=-a sin(t) ,     y(t)=a cost    , 

F=-y ix2+y2+x jx2+y2,    r(t)=a cos(t),  a sin(t) 

r'(t)=-a sin(t), a cos(t)

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