تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-13
السؤال
Transcribed Image Text:
(1 point) Find the line integral with respect to arc length (5x+9y)ds, where C is the line segment in the xy-plane with endpoints P = (2, 0) and Q = (0, 6).
(a) Find a vector parametric equation ŕ (t) for the line segment C so that points P and Q correspond to t = 0 and t = 1, respectively.
F(t) = <2-21,6t>
(b) Using the parametrization in part (a), the line integral with respect to arc length is
b
((5x + y)ds = [["\
-20-20t+54(6t)
with limits of integration a = 0
and b = 1
(c) Evaluate the line integral with respect to arc length in part (b).
L(5x
(5x+9y)ds =
132
dt
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