2.) find the parametric equations for a sphere with a radius of 4 and a center at (3,-2,5)
3.) 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
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
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