Find the line integral with respect to arc length Jo (2x+4y)ds, where C' is the line segment in the zy-plane with endpoints P = (6,0) and Q = (0,9). (a) Find a vector parametric equation F(t) for the line segment C so that points P and Q correspond to t = 0 and t =1, respectively. F(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is Jo (2x+4y)ds = -Sº dt with limits of integration a = and b = (c) Evaluate the line integral with respect to arc length in part (b). (23 (2x +4y)ds =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the line integral with respect to arc length
Jo
(2x+4y)ds, where C is the line segment in the zy-plane with endpoints P = (6,0) and Q = (0,9).
(a) Find a vector parametric equation F(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively.
F(t) =
(b) Using the parametrization in part (a), the line integral with respect to arc length is
√(22
So
dt
with limits of integration a =
(2x+4y)ds =
and b =
(c) Evaluate the line integral with respect to arc length in part (b).
√(2
(2x+4y)ds =
Transcribed Image Text:Find the line integral with respect to arc length Jo (2x+4y)ds, where C is the line segment in the zy-plane with endpoints P = (6,0) and Q = (0,9). (a) Find a vector parametric equation F(t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively. F(t) = (b) Using the parametrization in part (a), the line integral with respect to arc length is √(22 So dt with limits of integration a = (2x+4y)ds = and b = (c) Evaluate the line integral with respect to arc length in part (b). √(2 (2x+4y)ds =
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