Step-by-step explanation:
Since one of the boundaries is y = 0, we need to find the roots of the function 
. Using the quadratic equation, we get
But since the region is also bounded by 
, that means that our limits of integration are from 
(instead of -3) to 
.
Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by
Answer:
x=4
Step-by-step explanation:
go it right on edge
Answer:
34 times 70
Step-by-step explanation:
It's not necessary that either one represents a proportional
relationship. But if either one does, then the other one doesn't.
They can't both represent such a relationship.
The graph of a proportional relationship must go through
the origin. If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)
X intercept = -1, y = 0 (-1, 0)
<span>y intercept = 2, x = 0 (0, 2)
</span>
slope between (-1, 0) and (0, 2):
slope = (2 -0)/(0 - -1) = 2/1 = 2, m = 2
Using point (-1, 0) x₁ = -1, y₁ = 0
y - y₁ = m(x - x₁)
y - 0 = 2*(x - -1)
y = 2(x + 1)
y = 2x + 2
