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Suppose F(x, y) = x² + y²j and C is the line segment segment from point P = (3, 4) to Q = (5,6). (a) Find a vector parametric equation 7(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. r(t) = (b) Using the parametrization in part (a), the line integral of F along Cis b b

Suppose F(x, y) = x² + y²j and C is the line segment segment from point P = (3, 4) to Q = (5,6). (a) Find a vector parametric equation 7(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. r(t) = (b) Using the parametrization in part (a), the line integral of F along Cis b b

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Suppose F(x, y) = x² + y²j and C is the line segment segment from point P=(3, 4) to Q = (5,6). (a) Find a vector parametric equation r(t) for the line segment C so that points P and Qcorrespond to t = 0 and t = 1, respectively. r(t) = (b) Using the parametrization in part (a), the line integral of F along Cis b [F. с b – Ĵ F(F²(0)). [ F(F(t)) · 7' (t) dt a F.dr = with limits of integration a = -Ĵ (c) Evaluate the line integral in part (b). and b dt
Transcribed Image Text:Suppose F(x, y) = x² + y²j and C is the line segment segment from point P=(3, 4) to Q = (5,6). (a) Find a vector parametric equation r(t) for the line segment C so that points P and Qcorrespond to t = 0 and t = 1, respectively. r(t) = (b) Using the parametrization in part (a), the line integral of F along Cis b [F. с b – Ĵ F(F²(0)). [ F(F(t)) · 7' (t) dt a F.dr = with limits of integration a = -Ĵ (c) Evaluate the line integral in part (b). and b dt
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