A conservative vector field

has curl

. In this case,

so the vector field is not conservative.
Umm math is not very important to me ill eventually graduate w a 8.0 GPA
Answer:
Find the value of what? Update the question and I will answer
Step-by-step explanation:
There are 59 integer solutions
Such questions are best solved by writing cases and calculating the total number of cases. So beginning with
1) x = -3. The possible combinations are as follows:-
-3 2 13
-3 3 12
-3 4 11
-3 5 10
-3 6 9
-3 7 8
-3 8 7
-3 9 6
-3 10 5
-3 11 4
10 combinations
2) x = -2
-2 2 12
through
-2 11 3
10 combinations
3) x = -1
-1 2 11
through
-1 10 3
9 combinations
4) x = 0
0 2 10
through
0 9 3
8 combinations
as we can see from the pattern at x =1 we get 7 combinations, at x =2 we get 6 combinations, at x=3 we get 5 combinations and at x =4 we get 5 combinations.
Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.
Learn more about combinations here :
brainly.com/question/13387529
#SPJ1
The total length of the border = 50.2 yards
Step-by-step explanation:
Step 1 :
Given,
Diameter of the circular region = 16 yards
We need to compute the total length of the border.
Step 2 :
The total length of the border can be obtained by computing circumference of the region with the given diameter
Circumference = 2(pi)(r)
where r is the radius
here diameter = 16, so radius = 8 yards
Hence circumference = 2 (3.14) 8 = 50.24 yards
Step 3 :
Answer :
The total length of given border = 50.2 yards (rounded off to nearest 10th)