Question

Find the volume of the solid in the first octant bounded by the coordinate planes, the cylinder x^2+y^2 =4 and the plane z + y =3

Answer 1

I got all the way to trying to integrate in terms of y

Answer 2

would a simple substitution work?

Answer 3

What is the first octant? Everything is positive?

Answer 4

Are you using rotation of an sheet, or multiple integrals?

Answer 5

I think everything is positive...

Answer 6

multiple integrals

Answer 7

dx dy that sort of thing

Answer 8

double integrals over general regions...mmmm love the graphing hate the switching

Answer 9

but this problem doesn't involve reversing the integral

Answer 10

first octant is the portion of the xyz-axis system in which all three variables are positive

Answer 11

but I have a circle with c (0,0) and radius 2

Answer 12

Find out where t he circle and line intersect

Answer 13

Actually the first thing we want to do is draw a picture.