Find the line integral with respect to arc length (9x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = (3,0 = (0, 2). 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. t) = Jsing the parametrization in part (a), the line integral with respect to arc length is (9x + 5y)ds = dt c ith limits of integration a = and 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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Find the line integral with respect to arc length
(9x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = (3,0) and
Q = (0, 2).
Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 and t =
F(t) =
1, respectively.
Jsing the parametrization in part (a), the line integral with respect to arc length is
(9х + 5у)ds
dt
with limits of integration a =
and b =
Evaluate the line integral with respect to arc length in part (b).
(9х + 5у)ds —
Transcribed Image Text:Find the line integral with respect to arc length (9x + 5y)ds, where C is the line segment in the xy-plane with endpoints P = (3,0) and Q = (0, 2). Find a vector parametric equation r(t) for the line segment C so that points P and Q correspond to t = 0 and t = F(t) = 1, respectively. Jsing the parametrization in part (a), the line integral with respect to arc length is (9х + 5у)ds dt with limits of integration a = and b = Evaluate the line integral with respect to arc length in part (b). (9х + 5у)ds —
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