Hi guys!
My problem is a double integral that I am uncertain about the boundaries. The problem is: 3x+y+z=3, x>0, y>0, z>0. I am supposed to find the volume of the solid by using a double integral. I solved for z to give me z=3-y-3x, so when I set the double integral I know that is my starting equation. I set the inside integral from 0 to (3-3x) for dy and the exterior integral from (0 to 1) for dx. Whenever I work through the problem I keep getting -4.5 as my solution, but volume should not be negative... If anyone can see a problem in my boundaries I would appreciate the help. Thank you all. If I am slow to respond I apologize, I have a hectic work schedule.
My problem is a double integral that I am uncertain about the boundaries. The problem is: 3x+y+z=3, x>0, y>0, z>0. I am supposed to find the volume of the solid by using a double integral. I solved for z to give me z=3-y-3x, so when I set the double integral I know that is my starting equation. I set the inside integral from 0 to (3-3x) for dy and the exterior integral from (0 to 1) for dx. Whenever I work through the problem I keep getting -4.5 as my solution, but volume should not be negative... If anyone can see a problem in my boundaries I would appreciate the help. Thank you all. If I am slow to respond I apologize, I have a hectic work schedule.