calculate the area of the portion of that plane on the surface Watch

eternal1
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#1
Report Thread starter 7 years ago
#1
the full question is:


4. The domain D is a tetrahedron bounded by the planes x = 0, y = 0, z = 0 and
x + y + z = 1 Calculate
(a) The volume of the domain.
(b) The x-coordinate of the centre-of-mass of the domain, assuming constant density.
(c) Find, in terms of x and y the vector R from the origin to a point on the plane
x + y + z = 1.
(d) Find the (vectorial) element of surface area dS on that plane, in terms of x, y, dx
and dy.
(e) Hence calculate the area of the portion of that plane on the surface of the domain
D

ive already done a,b,c,d just dont kno how to start on e...not sure of ne relevant equations
ansas i got:
a)1/6
b)1/4
c)x,y,1-x-y
d)i + j + k

thanks 4 ur help ^^
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