1. Let F(x, y, z) = (y² + 2z, 2xy + 4,2x), and let the curve C be described by x=t, y = t², z = t³ for 1 ≤ t ≤ 2. a) Evaluate [F.Tds using the approach from text section 17.2 (integrate with respect to t). b) Evaluate [F.Tds using the Fundamental Theorem for Line Integrals from text section 17.3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Let F(x, y, z) = (y² + 2z, 2xy + 4,2x), and let the curve C be described by x=t, y = t², z = t³
for 1 ≤ t ≤ 2.
a) Evaluate
[F.Tds using the approach from text section 17.2 (integrate with respect to t).
b) Evaluate [F.Tds using the Fundamental Theorem for Line Integrals from text section 17.3.
Transcribed Image Text:1. Let F(x, y, z) = (y² + 2z, 2xy + 4,2x), and let the curve C be described by x=t, y = t², z = t³ for 1 ≤ t ≤ 2. a) Evaluate [F.Tds using the approach from text section 17.2 (integrate with respect to t). b) Evaluate [F.Tds using the Fundamental Theorem for Line Integrals from text section 17.3.
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