Recent content by mundane

Should this be cone in spherical coordinates? If so, how would it be set up? I am absolutely lost trying to find where these functions intersect. Please help!

If anybody can still help me here... Does this method work for my problem? It is a sphere being cut by a sheet... If so, how can I set up the intersection? I am stuck at 2^x+2^y-1=sqrt(-x^2-y^2+100)

Would it be (4-x^2-y^2) - (x^2+y^2-4) which is -2x^2-2y^2 +8?

Awesome... Before you go, could you just show how I should subtract the two surfaces for the inner function? I have gotten this far on my own problem now, just need that last step which I am unsure of...

I just graphed both surfaces and it looks like two equally sized paraboloids, one upside down and the other right side up... How do I know which is larger? Also, why do we want that specific order for the integral? Is y supposed to be fixed for as long as possible because we made it have...

Okay, would it be ∫(4−x2−y2 to x2+y2−4)∫(-2 to 2)∫(-√4 - y to +√4 - y) ... dxdydz ? that "..." is another place where I'm not sure what belongs...

Or do I have to plug -2 and 2 in for one of them? If I made the limits for y -2 and 2, how would that problem be solved? Just by plugging in..?

The limits for x would be:√(4-y2) And the limits for y would be : √(4-x2) Is that right?

Sorry, 2x2+2y2=8. so x2+y2=4. Do I set something equal to zero to find an intersection? Is it y=±2 and x=±2?

Would you set them equal to each other, then move them to one side of the equals sign to make them zero? I did z=4-x^2-y^2 and z=x^2+y^2-4 so 4-x2-y2 = x2+y2-4 then 2x2+2y2=0... not sure what I would do next... Also, did I express the functions in terms of z correctly? And when you...

Thanks for the reply... Let me try this: So for the first function: z = 2x+2y-1 And for the second function: z = √(-x2-y2+100) So those are the limits in the triple integral for z? I am not quite sure what you mean by "fix z=0 so you can find points of intersection." Would you mind...

Homework Statement Find the volume of the region of space enclosed between the functions: 1=-z+2x+2y and 100=z2+y2+x2. The Attempt at a Solution I am not sure how to set this problem up. I think it is a triple integral, since there is a z-component. I graphed the equation in an program and...

Indeed... I understand, I am just lost on how to create a function out of it...

Sorry, I thought you were actually wondering that, :P As far as I can tell, it might be a function of location in the universe against the speed at which one perceives time? That's the direction I was heading... but I am not sure of myself. If that were the case, would I get an instantaneous...

Thanks for the reply... The professor will not tell us... He is purposely being very vague, and I just need something to set up that I can then try some calculus on or talk about what would happen if calculus were done to it... He said we should get no numbers, just a vague...