a) 1.0 Consider the path: c(t) Let T = ran(c). GIVEN: F: R² FIND: Fds = (a cost, a sint), te [0, π], a>0, a constant. R², F = (y, y) (a) ANS: 2a²√√2 Y

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Chapter2: Second-order Linear Odes
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a)
b)
1.0
Consider the path: c(t) = (a cost, a sint), t= [0, π], a > 0, a constant.
Let T =
ran(c).
GIVEN: F: R²
FIND: F|ds
FIND: F•ds
R², F = (y, y)
(a) ANS: 2a² √2
Y
(b) ANS:
πα
Transcribed Image Text:a) b) 1.0 Consider the path: c(t) = (a cost, a sint), t= [0, π], a > 0, a constant. Let T = ran(c). GIVEN: F: R² FIND: F|ds FIND: F•ds R², F = (y, y) (a) ANS: 2a² √2 Y (b) ANS: πα
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