Find the line integral with respect to arc length (8x + 9y)ds, where C is the line segment in the xy-plane with endpoints P = (4, 0) and Q = (0,9). (a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t O and t 1, respectively. r(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is | (8x + 9y)ds = dt with limits of integration a = and 6 = (c) Evaluate the line integral with respect to arc length in part (b). | (8x + 9y)ds =
Find the line integral with respect to arc length (8x + 9y)ds, where C is the line segment in the xy-plane with endpoints P = (4, 0) and Q = (0,9). (a) Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t O and t 1, respectively. r(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is | (8x + 9y)ds = dt with limits of integration a = and 6 = (c) Evaluate the line integral with respect to arc length in part (b). | (8x + 9y)ds =
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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