Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation:
5 times 7.14 is 3.5 times 6.78 is 242.046 times is 1382566.752
The length would be 9.
Area of a square is side^2, so to solve for side, take the square root of 81
Answer:
We can have several equivalents.
It can be 1/784, 28^(-2), or 1/ (28^2)
Step-by-step explanation:
4^(-2) * 7^(-2) = (4*7)^(-2) = 28^(-2)
or 1 / (28^2) is another equivalent.
4^(-2) * 7^(-2) = 28^(-2)
4^(-2) * 7^(-2) = = 1/784