Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle 
in the plane 
, where the curl is 
. Green's theorem applies here, so that
which means the value of the line integral is 3 times the area of the circle, or 
.
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.
1.54-.10=1.44
Subtract the two to find your answer
23:8 is the simplest form. However, you can put 5.75:2 or even 2.86/1 if you are looking for the absolute simplest
Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4
<span><span>
</span> <span><span>Dilation - of a polygon</span> A transformation in which a polygon is enlarged or reduced by a given factor around a given center point. Try this Adjust the slider on the right to change the scale factor. Drag the center point O. Dilation is where the polygon grows or shrinks but keeps the same overall shape. It's a little like zooming in or out on a camera. In the figure above, the polygon is a rectangle ABCD. As you adjust the slider on the right, the transformed rectangle A'B'C'D gets bigger and smaller, but remains the same shape</span></span>
