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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb6df100-636a-4b67-8708-0e2967f419e8%2F6b10c00f-2b6c-408f-9901-4ec63a1b3117%2F5vpmara_processed.png&w=3840&q=75)
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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