Answer:
-42
Step-by-step explanation:
The objective is to find the line integral of
around the perimeter of the rectangle with corners (4,0), (4,3), (−3,3), (−3,0), traversed in that order.
We will use <em>the Green's Theorem </em>to evaluate this integral. The rectangle is presented below.
We have that

Therefore,

Let's calculate the needed partial derivatives.

Thus,

Now, by the Green's theorem, we have

Answer:3
Step-by-step explanation: 60/6=10
66/6=11
60/3=20
66/3=22 you double the numbers of the quotient which halves the factor.
Answer:
x=44
Step-by-step explanation:
33+103+x=180
136+x=180
x=44
Lawrence's is the correct answer. he put 3 plates on each box in both situations
Answer:
Total laps = 10d
Step-by-step explanation:
Let c = Carl's laps
d = Daria's laps
e = Erin's laps
c = 3d
c = e/2
c + d + e = totals laps
We can insert 3d in place of c in the third equation
3d + d + e = total laps
Also, e/2 equals 3d
e/2 = 3d
Multiply both sides by 2
(e/2 = 3d)2
e = 6d
Insert the new e
3d + d + 6d = 10d = totals laps