At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

if i see it right; you went ahead and subtracted 2 to get it to the x axis right?

y = 4 -2x -x^2
y = x+4 and spin that around the x axis (y=0)

is your interval good?
6-2x-x^2 -x-6
-x^2 -3x = 0
-x(x+3) = 0; x= [-3,0] is good

-x^2....typoed it :)

pi [S] (x^6 +9x^2 +6x^4) dx right?

-2-3x-x^2 is your function; why?

That was my radius

it doesnt match my radius tho :) so whos right?

yours is -2 larger

you see it?

y=6-2x-x^2 (-2) = 4-2x -x^2
y=x+6 (-2) = x+4

4 -2x -x^2 -[x+4]
-3x -x^2 right?

so I need to subtact 2 from both functions?

How are you getting thisx^6 +9x^2 +6x^4) dx

you gotta squre your radius

pi [S] [f(x)]^2 dx

[f(x)]^2 = [-2x-x^2]^2

If the radius is (-3x-x^2) and we square it, don't we get 9x^2-6x^3=x^4?

9x^2-6x^3+x^4

-3x(-3x) = 9x^2
-x^2(-x^2) = x^4
-3x(-x^2)(2) = +6x^3

we could go with -1(3x+x^2) as well i htink

but then we get - everything

That 's OK b/c the def integral goes form -3 to 0

wanna go with - everything? i dont think it makes a diff :)

pi (-3x^3 -x^5/5 -3x^4/2) then right?

yes

I get 8.1

8.1 pi

which is 8.1 pi :)

So do you think that's right?

Thanks so much!!!

youre welcome :)

Nice way to check! Thanks again!