A) Evaluate the line integral of f (r, y) = 1 – y+3 along the curve r (t) = cos (t) i+ sin (t) j, 0

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Chapter2: Second-order Linear Odes
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A)
Evaluate the line integral of f (r, y) = x – y + 3 along the curve
r (t) = cos (t) i+ sin (t) j, 0<t< 2n.
B) Find the work done by the conservative vector field F (r, y, z) = yzi+xzj+xyk along
a smooth curve C from the point (-1,3, 8) to (1,6, –4).
Transcribed Image Text:A) Evaluate the line integral of f (r, y) = x – y + 3 along the curve r (t) = cos (t) i+ sin (t) j, 0<t< 2n. B) Find the work done by the conservative vector field F (r, y, z) = yzi+xzj+xyk along a smooth curve C from the point (-1,3, 8) to (1,6, –4).
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