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Chapter 6: Q12P (page 314)
Evaluate each of the following integrals in the easiest way you can.
,along the xaxis from (0,0) and localid="1659182150932" then along
a circular arc from
The solution to this problem is
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Evaluate each of the integrals in Problems 3 to 8 as either a volume integral or a surface integral, whichever is easier.
over the surface of a sphere with center at the origin and radius 3.
over the surface of a sphere of radius and center at the origin.
along the x axis from (0,0) to and along a circular are from to (1,2).
Given and the point (3,4,1) find
(a) at P ;
(b) a unit vector normal to the surface at P ;
(c) a vector in the direction of most rapid increase of at P;
(d) the magnitude of the vector in (c);
(e) the derivative of at in a direction parallel to the line
Problembut integrate over the open surface obtained by leaving out the face of the cube in the plane.
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