Answer:
D
Step-by-step explanation:
the 2 square root terms can be combined under one large square root.
and the general multiplication factor of 2 remains on the outside.
2×sqrt(24x³ / 3x) = 2×sqrt(8x²) = 2×sqrt(4×2x²) =
2×2×sqrt(2x²) = 2×2×x×sqrt(2) = 4x sqrt(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:
16.34 square inches.
Step-by-step explanation:
Given:
Base of triangle, b = 3 inches
Height of triangle, h = 10.89 inches
Question asked:
What is the area of this triangle in square inches?
Round your answer to the nearest hundredths place .
Solution:
As we know,


As, we have to find the answer to the nearest hundredths place, hence the area of triangle will be 16.34 square inches.
Circumference: 2πr
Circumference: 2(3.14)(x + 1)
Circumference: 6.28(x + 1)
Circumference: 6.28(x) + 6.28(1)
Circumference: 6.28x + 6.28
Area: πr²
Area: 3.14(x + 1)²
Area: 3.14(x +1)(x + 1)
Area: 3.14(x(x + 1) + 1(x + 1))
Area: 3.14(x(x) + x(1) + 1(x) 1(1))
Area: 3.14(x² + x + x + 1)
Area: 3.14(x² + 2x + 1)
Area: 3.14(x²) + 3.14(2x) + 3.14(1)
Area: 3.14x² + 6.28x + 3.14