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Suppose F 2.xz + 3y²) ay + (4yz²) az. (a) Calculate fLL F dS, where S is the shaded surface in Figure 1. (b) Calculate SF· dl, where C is the A → B → C → D → A closed path in Figure 1. (c) Based on your results for parts (a) and (b), what named theorem do you think is being satisfied here, if any? az C С (0,1,1) D (0,0,0) A ay В ax Figure 1: Figure for Problem 1.

Suppose F 2.xz + 3y²) ay + (4yz²) az. (a) Calculate fLL F dS, where S is the shaded surface in Figure 1. (b) Calculate SF· dl, where C is the A → B → C → D → A closed path in Figure 1. (c) Based on your results for parts (a) and (b), what named theorem do you think is being satisfied here, if any? az C С (0,1,1) D (0,0,0) A ay В ax Figure 1: Figure for Problem 1.

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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az. Suppose F = (2xz + 3y²) a, + (4yz²) a;. (a) Calculate S[F·dS, where S is the shaded surface in Figure 1. (c) Based on your results for parts (a) and (b), what named theorem do you think is being satisfied here, if any? (b) Calculate SF· dl, where C is the A → B → C → D → A closed path in Figure 1. az C C (0,1,1) D (0,0,0) (A ay В ax Figure 1: Figure for Problem 1.
Transcribed Image Text:az. Suppose F = (2xz + 3y²) a, + (4yz²) a;. (a) Calculate S[F·dS, where S is the shaded surface in Figure 1. (c) Based on your results for parts (a) and (b), what named theorem do you think is being satisfied here, if any? (b) Calculate SF· dl, where C is the A → B → C → D → A closed path in Figure 1. az C C (0,1,1) D (0,0,0) (A ay В ax Figure 1: Figure for Problem 1.
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