Question

Factor
5x^3 + 10x^2 + 15x

Answer 1

This is prime. It cannot be factored.
If you graph this you will see the graph never crosses the x-axis.
to see this you might try using quadratic formula

Answer 2

youre an idiot, you can factor out x

Answer 3

5x( x^2 + 2x + 3)

Answer 4

haha very true. sorry i was looking at factoring the remaining part after the x had been factored out

Answer 5

ok , :)

Answer 6

are you good at surface area integral? 2pi y dS

Answer 7

somewhat i haven't used that too much

Answer 8

hmmm, i have a question posted on the left . its about a torus

Answer 9

Surface area of a torus which has radius r which is generated by the circle centered at (R,0) with radius r. And assume R>r. So the equation of the circle is (x-R)^2 +y^2 = r^2. FOr some reason my integral does not work. i have integral 2pi y dS, where y = sqrt [r^2 - (x-R)^2], and ds = sqrt ( 1 + dy/dx ^2).
dy/dx = -2(x-R)/ (2sqrt(r^2 - (x-R)^2)).
anyways, integration limits , the lower limit is R-r, and upper R+r

Answer 10

ok ill take a look

Answer 11

s

Answer 12

the answer i should get is 4pi^2 r*R

Answer 13

my integral is
int sqrt [r^2 - (x-R)^2] sqrt [ 1 + [2(x-R)/ (2sqrt(r^2 - (x-R)^2))]^2
.

Answer 14

the setup looks correct as do the functions

Answer 15

it prob is a computational error, thats a pretty big integral.

Answer 16

yes it is

Answer 17

is that last part sqrt[] all squared so it cancels out

Answer 18

hmm nevermind i thought i could reduce it for you. as far as the integration you'll have to find someone else to help you or use some graphing software.
sorry

Answer 19

we can reduce it