(a) Find a vector parametric equation for the parabola y = x² from the origin to the point (2, 4) using t as a parameter. (t) = (b) Find the line integral of ♬ along the parabola y = x² from the origin to (2, 4).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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(a) Find a vector parametric equation for the parabola y = x² from the origin to the point (2, 4) using t as a parameter.
r(t) =
(b) Find the line integral of F along the parabola y = x² from the origin to (2,4).
Transcribed Image Text:(a) Find a vector parametric equation for the parabola y = x² from the origin to the point (2, 4) using t as a parameter. r(t) = (b) Find the line integral of F along the parabola y = x² from the origin to (2,4).
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