Find the line integral with respect to arc length / (6x + 9y)ds, where C is the line segment in the xy-plane with endpoints P = (4,0) and Q = (0,6). (a) Find a vector parametric equation 7 (t) for the line segment C so that points P and correspond to t = 0 and t = 1, respectively. F(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is | (6x + 9y)ds = | dt with limits of integration a = and b = (c) Evaluate the line integral with respect to arc length in part (b). (6x + 9y)ds

Find the line integral with respect to arc length / (6x + 9y)ds, where C is the line segment in the xy-plane with endpoints P = (4,0) and Q = (0,6). (a) Find a vector parametric equation 7 (t) for the line segment C so that points P and correspond to t = 0 and t = 1, respectively. F(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is | (6x + 9y)ds = | dt with limits of integration a = and b = (c) Evaluate the line integral with respect to arc length in part (b). (6x + 9y)ds

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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