T Given the integral [cos 2x dx+4y³ dy, where C is described by F(1) = C b-- t a--A -) If the integral represents the work done by a vector field F along C, write a formula for F, and evaluate the work. If the integral represents [F-dr, write a formula for dr for this particular C. for 1≤t≤2 C' .) If the integral represents the flux of a vector field G across the curve C (in the conventional right-hand sense), write a formula for G.
T Given the integral [cos 2x dx+4y³ dy, where C is described by F(1) = C b-- t a--A -) If the integral represents the work done by a vector field F along C, write a formula for F, and evaluate the work. If the integral represents [F-dr, write a formula for dr for this particular C. for 1≤t≤2 C' .) If the integral represents the flux of a vector field G across the curve C (in the conventional right-hand sense), write a formula for G.
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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Transcribed Image Text:Question 3
Given the integral [cos 2x dx +4y³ dy, where C is described by F(t) =|
a
b--
t
-) If the integral represents the work done by a vector field F along C, write a
formula for F, and evaluate the work.
If the integral represents [F-dř, write a formula for dĩ for this particular C.
D
C-
for 1≤1≤2
.) If the integral represents the flux of a vector field G across the curve C (in the
conventional right-hand sense), write a formula for G.
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