Find the line integral with respect to arc length|| (9x + 8y)ds, where C is the line segment in the ry-plane with endpoints P = (3,0) and Q = (0,5). (a) Find a vector parametric equation 7(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. *(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is | (9x + 8y)ds = || dt with limits of integration a = and b = (c) Evaluate the line integral with respect to arc length in part (b). (9x + 8y)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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please answer the (a)(b)(c) parts ,thanks

Find the line integral with respect to arc length||
(9x + 8y)ds, where C is the line
segment in the ry-plane with endpoints P = (3,0) and Q = (0,5).
(a) Find a vector parametric equation 7(t) for the line segment C so that points P and
Q correspond to t = 0 and t = 1, respectively.
*(t) =
(b) Using the parametrization in part (a), the line integral with respect to arc length is
|
(9x + 8y)ds = ||
dt
with limits of integration a =
and b =
(c) Evaluate the line integral with respect to arc length in part (b).
(9x + 8y)ds =
Transcribed Image Text:Find the line integral with respect to arc length|| (9x + 8y)ds, where C is the line segment in the ry-plane with endpoints P = (3,0) and Q = (0,5). (a) Find a vector parametric equation 7(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. *(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is | (9x + 8y)ds = || dt with limits of integration a = and b = (c) Evaluate the line integral with respect to arc length in part (b). (9x + 8y)ds =
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