A) Suppose F(x,y)= M(x,y) i + N(x,y) j is a vector field on the xy plane such that |c F•dr = 0 F•dr = -6 |F•dr = 5 where the curves C,,C2,C3 are oriented as shown in the figure below. If R denotes the...


A) Suppose<br>F(x,y)= M(x,y) i + N(x,y) j<br>is a vector field on the xy plane such that<br>|c<br>F•dr = 0<br>F•dr = -6<br>|F•dr = 5<br>where the curves C,,C2,C3 are oriented as shown in the figure below.<br>If R denotes the interior of the triangle shown in the figure, then<br>aN<br>ƏM<br>dx<br>dA =|<br>dy<br>R<br>B) Consider a second vector field<br>G(x,y)= 2 N(x,y) i - 2 M(x,y) j<br>where N,M are the same functions used to define F(x,y).<br>Then the outward flux of G across the triangle shown in the figure shown below equals<br>outward flux<br>

Extracted text: A) Suppose F(x,y)= M(x,y) i + N(x,y) j is a vector field on the xy plane such that |c F•dr = 0 F•dr = -6 |F•dr = 5 where the curves C,,C2,C3 are oriented as shown in the figure below. If R denotes the interior of the triangle shown in the figure, then aN ƏM dx dA =| dy R B) Consider a second vector field G(x,y)= 2 N(x,y) i - 2 M(x,y) j where N,M are the same functions used to define F(x,y). Then the outward flux of G across the triangle shown in the figure shown below equals outward flux
C3<br>C2<br>R<br>C1<br>

Extracted text: C3 C2 R C1

Jun 03, 2022
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