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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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