Answer:
$42.5
Step-by-step explanation:
Answer:
the slope of the line x+y = 6 is -1.
Step-by-step explanation:
slope = - coefficient of x
----------------------
coefficient of y
slope = -1 /1
slope = -1
Answer:
125
Step-by-step explanation:
5x5=25
then 25x5=125
Answer:
UV=142
Step-by-step explanation:
21x-13=10x+31
+13 +13
21x=10x+44
-10x=-10x
11x=44
÷11 ÷11
x=4
now substitute 4 in place of x (only have to solve one)
21(4)-13= 71
now multiply your answer by 2
71×2=142
Answer:
1/2
Step-by-step explanation:
The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that
Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.
- Mx(x,y) = d/dx 8x²y = 16xy
- Ly(x,y) = d/dy 7y²x = 14xy
Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral
We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows
We conclude that the line integral is 1/2