Answer:
a = 2
Step-by-step explanation:
19= 7a +5
19-5=7a
14÷7=a
a=2
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
Answer:
78 km!
Step-by-step explanation:
13 cm * 6 km per cm = 78 km in actual distance
Answer:
Rectangular Pyramid
Step-by-step explanation:
we know that
A <u><em>rectangular pyramid</em></u> is a three-dimensional figure that has a rectangular base and four lateral triangular faces
so
The total number of faces is 5 (one rectangular face plus four triangular faces)
The total number of vertices is 5 (four at the base and one at the apex)