Answer:
1,3,10
Step-by-step explanation:
I got it wright on the test.
Answer: The test statistic is t= -0.90.
Step-by-step explanation:
Since we have given that
n₁ = 50
n₂ = 25

So, s would be

So, the value of test statistic would be

Hence, the test statistic is t= -0.90.

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)

4x^2 - 2xy^2
5xy^2 +
3x^2y
_____________
12x^5y^4-2xy^2
This is so because 4+5+3 is 12, then using laws of indices to add your x and y you get x^5 and y^4
To simplify your answer to the lowest you have it in the form of
3x^2y^2(4x^2y - 2xy^2)
If you multiply this as well you get the same answer I got with the addition