d.) find ∫C1xdy-ydx where C1 is the line connecting (a,b) to (c,d) e.) find ∫C2xdy-ydx where C2 is the line connecting (c,d) to (e,f) f.) find ∫C3xdy-ydx where C3 is the line connecting (e,f) to (a,b) g.) find ∫C1xdy-ydx + ∫C2xdy-ydx + ∫C3xdy-ydx h.) How is this result related to area found in part b
Parts a, b, and c have already been answered please answer as many of the rest as possible thanks
Using greens theorem determine the area of the triangle with the vertices (a,b) (c,d) (e,f)
a.) draw a picture of the triangle with the vertices labled
b.) Using vectors find an equation for the area of the triangle
c.) state greens theorem for this problem
d.) find ∫C1xdy-ydx where C1 is the line connecting (a,b) to (c,d)
e.) find ∫C2xdy-ydx where C2 is the line connecting (c,d) to (e,f)
f.) find ∫C3xdy-ydx where C3 is the line connecting (e,f) to (a,b)
g.) find ∫C1xdy-ydx + ∫C2xdy-ydx + ∫C3xdy-ydx
h.) How is this result related to area found in part b
i.) using the result develop a general formula for the area of a
j.) Using this equation find the area of a pentagon with the verticies (3,-1) (4,2) (1,6) (-3,4) (-2,-1)
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