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.
Answer:
In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviations "pct.", "pct"; sometimes the abbreviation "pc" is also used. A percentage is a dimensionless number (pure number).
Step-by-step explanation:
Answer: y = 2x+8
Check out this graph I supplied you with!
Answer:
Perimeter of Compound Shapes: Composite Rectangles. Perimeter is the total distance around the outside of a shape. horizontal. sides must be the same length in total as the one longer red side.
Step-by-step explanation:Also not sure...Hope this kinda helps...
<h2>In the year 2000, population will be 3,762,979 approximately. Population will double by the year 2033.</h2>
Step-by-step explanation:
Given that the population grows every year at the same rate( 1.8% ), we can model the population similar to a compound Interest problem.
From 1994, every subsequent year the new population is obtained by multiplying the previous years' population by
=
.
So, the population in the year t can be given by 
Population in the year 2000 =
=
Population in year 2000 = 3,762,979
Let us assume population doubles by year
.



≈
∴ By 2033, the population doubles.