Divergence is easier to compute:
Curl is a bit more tedious. Denote by 
the differential operator, namely the derivative with respect to the variable 
. Then
![\mathrm{curl}\vec F=\left(D_y\left[y\tan^{-1}\dfrac xz\right]-D_z\left[e^{xy}\sin z\right]\right)\,\vec\imath-D_x\left[y\tan^{-1}\dfrac xz\right]\,\vec\jmath+D_x\left[e^{xy}\sin z}\right]\,\vec k](https://tex.z-dn.net/?f=%5Cmathrm%7Bcurl%7D%5Cvec%20F%3D%5Cleft%28D_y%5Cleft%5By%5Ctan%5E%7B-1%7D%5Cdfrac%20xz%5Cright%5D-D_z%5Cleft%5Be%5E%7Bxy%7D%5Csin%20z%5Cright%5D%5Cright%29%5C%2C%5Cvec%5Cimath-D_x%5Cleft%5By%5Ctan%5E%7B-1%7D%5Cdfrac%20xz%5Cright%5D%5C%2C%5Cvec%5Cjmath%2BD_x%5Cleft%5Be%5E%7Bxy%7D%5Csin%20z%7D%5Cright%5D%5C%2C%5Cvec%20k)
Answer:
The Area of the shaded region = (Area of the largest circle) – (Area of the circle with radius 3) – (Area of the circle with radius 2). Whatever is left over is the shaded region. The diameter of the largest circle is 10, so its radius is 5 and thus its area is 25π. SO do this in that problem and you will get the answer.
Step-by-step explanation:
pls give me brainliest
Answer:
area is 
Step-by-step explanation:
the hight is 
*10/2=
The length of the rope for this case is given by the length of the circumference.
We have then:
C = 2 * pi * R
Where,
R: Earth radio.
We have then:
C = 2 * pi * (6371)
C = 12742 * pi
Answer:
the length of this rope is:
C = 12742 * pi
82$ and 74$ since there is a variety of the same numbers
