This is a three part problem. Given: Find the line integral with respect to arc length (6x + 8y)ds, where C is the line segment in the xy-plane with endpoints P = (8,0) 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 = 0 and t = 1, respectively. B. Using the parametrization in part A, what is the line integral with respect to arc length? C. Evaluate the line integral with respect to arc length in part B.

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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This is a three part problem. Given: Find the line integral with respect to arc length (6x + 8y)ds, where C is the line segment in the xy-plane with endpoints P = (8,0) 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 = 0 and t = 1, respectively. B. Using the parametrization in part A, what is the line integral with respect to arc length? C. Evaluate the line integral with respect to arc length in part B.
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