Let F(x, y) = P(x, y)i+Q(x,y)j. where -y P(x, y) = and Q(x,y) = %3D r² + y² x² + y? and F(0,0) = 0. Among the following statements, find all True statement(s). (a) 응 %3D for all (x, y) # (0, 0). (b)...


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Let<br>F(x, y) = P(x, y)i+Q(x,y)j.<br>where<br>-y<br>P(x, y) =<br>and Q(x,y) =<br>%3D<br>r² + y²<br>x² + y?<br>and F(0,0) = 0. Among the following statements, find all True statement(s).<br>(a) 응 %3D for all (x, y) # (0, 0).<br>(b)<br>F. dr =<br>F. dr<br>where<br>21이<br>C1 : r(t) = (cos(t), sin(t)), 0<t < a<br>C2 : r(t) = (cos(t), – sin(t)), 0<t<n.<br>of 24<br>(c) F is conservative.<br>Select one:<br>(a), (b),(c)<br>(a), (b)<br>(b), (с)<br>(a), (c)<br>none of the other answers.<br>

Extracted text: Let F(x, y) = P(x, y)i+Q(x,y)j. where -y P(x, y) = and Q(x,y) = %3D r² + y² x² + y? and F(0,0) = 0. Among the following statements, find all True statement(s). (a) 응 %3D for all (x, y) # (0, 0). (b) F. dr = F. dr where 21이 C1 : r(t) = (cos(t), sin(t)), 0< a="" c2="" :="" r(t)="(cos(t)," –="" sin(t)),=""><>

Jun 04, 2022
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