Lewis Harvey
2021-05-16
Find the area of the part of the plane
au4gsf
Skilled2021-05-17Added 95 answers
Jeffrey Jordon
Expert2021-09-09Added 2605 answers
Find the area of the part of the plane.
that lies in the first octant parametrization:
and
so,
to see where the plane intersects the first octant, look for the intercepts with the x,y and z-axes
So,
thus, the domain D is the triangle in the first quadrant of the xy-plane bounded by
We could compute this using geometry area
Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
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