Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a particle going from point (-1,1,-2) to (2, 4,4) along the curve R (t) = (t, t², 2t) 2. The task is to determine the flux of B across G, where G is the positively-oriented portion of the parabolic cylinder z = 1 x² inside the rectangle {(x, y) = R² | − 1 ≤ x ≤ 1,0 ≤ y ≤ 2}. Please answer with complete solution

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer question 2 only

Given:
Let B (x, y, z)
=
(xz, yz,3x² - z²).
1. The task is to identify the work done by B on a particle going from point ( − 1, 1, −2) to (2, 4,4)
along the curve R (t) = (t, t², 2t)
2. The task is to determine the flux of B across G, where G is the positively-oriented portion of the
parabolic cylinder z = 1 – x² inside the rectangle {(x, y) = R² | − 1 ≤ x ≤ 1,0 ≤ y ≤ 2}.
Please answer with complete solution
Transcribed Image Text:Given: Let B (x, y, z) = (xz, yz,3x² - z²). 1. The task is to identify the work done by B on a particle going from point ( − 1, 1, −2) to (2, 4,4) along the curve R (t) = (t, t², 2t) 2. The task is to determine the flux of B across G, where G is the positively-oriented portion of the parabolic cylinder z = 1 – x² inside the rectangle {(x, y) = R² | − 1 ≤ x ≤ 1,0 ≤ y ≤ 2}. Please answer with complete solution
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