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Suppose F = (2xz+3y²) ay + (4yz²) a;. (a) Calculate Lf curl F· dS, where S is the shaded surface in Figure 1. (b) Calculate „F•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 D C (0,1,1) (0,0,0) ay В ax

Suppose F = (2xz+3y²) ay + (4yz²) a;. (a) Calculate Lf curl F· dS, where S is the shaded surface in Figure 1. (b) Calculate „F•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 D C (0,1,1) (0,0,0) ay В ax

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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Suppose F = (2xz + 3y²) a, + (4yz²) a̟. (a) Calculate fls curl F dS, where S is the shaded surface in Figure 1. (b) Calculate „F•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 (0,1,1) (0,0,0) A ay В ax
Transcribed Image Text:Suppose F = (2xz + 3y²) a, + (4yz²) a̟. (a) Calculate fls curl F dS, where S is the shaded surface in Figure 1. (b) Calculate „F•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 (0,1,1) (0,0,0) A ay В ax
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