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
 in the plane  , where the curl is
, where the curl is  . Green's theorem applies here, so that
. 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.
 
        
             
        
        
        
I do not understand why there are two decimal places.
But either ways if you are asking for :
0.0000489 then it is 4.89*10⁻⁵
0.489 then it is 4.89*10⁻¹
The trick is to count the zeroes to the first actual significant number you see and then write the number you counted with a negative sign for your power. 
I hope this helps!
        
             
        
        
        
Answer:
0
Step-by-step explanation:
any log with a base of one and it becomes logv5 (1) after logv5(logV3 (3) because log3(3) equal one so then logv5 (1) is 0
 
        
             
        
        
        
ANSWER
B. 10
EXPLANATION
We need to find the value of x first.
It was given that the perimeter of triangle XYZ is 24.
This means that:
XY+YZ+XZ=24
we substitute the expression in terms of x to get;

This implies that


Divide both sides by 4 to get;

|WY|=|ZX|=13-3=10
 
        
                    
             
        
        
        
Answer:
10
Step-by-step explanation: