Given the following vector field and orientated curve C, evaluate F= (x,y) (x² + y²) 3/2 on the curve r(t) = (t²,5t²), for 1sts2 The value of the line integral of F over C is (Type an exact answer, using radicals as needed.) √F.Tds.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Given the following vector field and orientated curve C, evaluate
F=
(x,y)
(x² + y²) 3/2
on the curve r(t) = (t²,5t²), for 1sts2
The value of the line integral of F over C is
(Type an exact answer, using radicals as needed.)
√F.Tds.
Transcribed Image Text:Given the following vector field and orientated curve C, evaluate F= (x,y) (x² + y²) 3/2 on the curve r(t) = (t²,5t²), for 1sts2 The value of the line integral of F over C is (Type an exact answer, using radicals as needed.) √F.Tds.
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