Given that F(x, y, z) = (e", xe" + e², ye) is a conservative vector field. a. Find a potential function f for F. b. Compute the line integral feF. dr where C is the arc of the circular helix given by r(t) = cos ti+ sin tj+ tk, 0≤ t ≤ π/2.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2b

2. Given that F(x, y, z) = (e", xe + e², ye²) is a conservative vector field.
a. Find a potential function f for F.
b. Compute the line integral e F. dr where C is the arc of the circular helix given
by
r(t) = cos ti+ sin tj + tk, 0≤t≤ π/2.
Transcribed Image Text:2. Given that F(x, y, z) = (e", xe + e², ye²) is a conservative vector field. a. Find a potential function f for F. b. Compute the line integral e F. dr where C is the arc of the circular helix given by r(t) = cos ti+ sin tj + tk, 0≤t≤ π/2.
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