A path C is defined by the parametric equations x(t)=t, y(t) = t², 0≤t≤ 1, and a vector field is defined by the equation F = y²i+xj. Enter the value of the line integral F. ds in the box below (rounded to two decimal places).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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A path C is defined by the parametric equations
x(t)=t, y(t)=t, 0<t<1,
and a vector field is defined by the equation
F = y²i+xj.
Enter the value of the line integral
F. ds in the box below (rounded to two decimal places).
Transcribed Image Text:A path C is defined by the parametric equations x(t)=t, y(t)=t, 0<t<1, and a vector field is defined by the equation F = y²i+xj. Enter the value of the line integral F. ds in the box below (rounded to two decimal places).
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