2 years ago

1. What is distributive property?

1 answer:

7 0

1..The distributive property is when you take the number and multiply it to the numbers in the parentheses

2.You must use the distributive property because it helps simplify difficult problems and breaks the problem down into a simpler version

3. To solve a multi step equations with parentheses you must use the addition property subtraction property distributive property in multiplication property if all are needed

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Find the volume of the wedge cut from the first octant by the cylinder z=12-3y^2 and the plane x+y=2.

LuckyWell [14K]

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