3 : F = 2yi + 3xj, 6 = ³x³ + 2xy, and h = y — 4x². Let (a) Find each of the following: F-V6 = Vh= How are F - Vo and Vh related? F - Vo =Vh (Note that this shows that F-Vois parallel to Vh.) (b) Use and the Fundamental Theorem of Calculus for Line Integrals to evaluate SF. dr, where C' is the oriented path on a contour of h from P(0, 8) to Q(5, 108). SoF. dr =
3 : F = 2yi + 3xj, 6 = ³x³ + 2xy, and h = y — 4x². Let (a) Find each of the following: F-V6 = Vh= How are F - Vo and Vh related? F - Vo =Vh (Note that this shows that F-Vois parallel to Vh.) (b) Use and the Fundamental Theorem of Calculus for Line Integrals to evaluate SF. dr, where C' is the oriented path on a contour of h from P(0, 8) to Q(5, 108). SoF. dr =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:Let F = 2yi + 3x), ¢ = x³ + 2xy, and h = y − 4x².
3
(a) Find each of the following:
F-V6 =
Vh=
How are F- Vo and Vh related?
F - Vo =Vh
(Note that this shows that F – Vois parallel to Vh.)
(b) Use and the Fundamental Theorem of Calculus for
Line Integrals to evaluate SF. dr, where C' is the
oriented path on a contour of h from P(0, 8) to Q(5, 108).
SoF. dr =
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