5. Let F(x, y) = ei + xej be defined on a smooth curve C given by the vec function r = ti+t2j for 0 ≤ t ≤1. Prove that [F. dr = e using the fundamental theorem of calculus for vector fields.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
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5. Let F(x, y) = ei + xej be defined on a smooth curve C given by the vec
function r = ti+t²j for 0 ≤ t ≤1. Prove that
[F. dr = e
using the fundamental theorem of calculus for vector fields.
Transcribed Image Text:5. Let F(x, y) = ei + xej be defined on a smooth curve C given by the vec function r = ti+t²j for 0 ≤ t ≤1. Prove that [F. dr = e using the fundamental theorem of calculus for vector fields.
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