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F.N= (b) Calculate the normal component of F to the surface at P = (1, 2, 9) = (2, 3). (Use symbolic notation and fractions where needed.) normal component at P = (c) Calculate F. ds. (Give your answer as a whole number.) F.dS=

F.N= (b) Calculate the normal component of F to the surface at P = (1, 2, 9) = (2, 3). (Use symbolic notation and fractions where needed.) normal component at P = (c) Calculate F. ds. (Give your answer as a whole number.) F.dS=

Advanced Engineering Mathematics
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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Let F = (z, 0, y) and let S be the oriented surface parametrized by Þ(u, v) = (u² - v, u, v²) for 0 ≤ u ≤ 2, -1 ≤U≤ 4. (a) Calculate N and F. N as functions of u and u. (Use symbolic notation and fractions where needed.) N = F.N= (b) Calculate the normal component of F to the surface at P = (1, 2, 9) = (2, 3). (Use symbolic notation and fractions where needed.) normal component at P = (c) Calculate F. ds. (Give your answer as a whole number.) FdS:
Transcribed Image Text:Let F = (z, 0, y) and let S be the oriented surface parametrized by Þ(u, v) = (u² - v, u, v²) for 0 ≤ u ≤ 2, -1 ≤U≤ 4. (a) Calculate N and F. N as functions of u and u. (Use symbolic notation and fractions where needed.) N = F.N= (b) Calculate the normal component of F to the surface at P = (1, 2, 9) = (2, 3). (Use symbolic notation and fractions where needed.) normal component at P = (c) Calculate F. ds. (Give your answer as a whole number.) FdS:
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