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.
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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