It's zero.
Thinking about xyz in the range of 3\leq\sqrt{x^2+y^2+z^2}\leq 6
z can never go less than \sqrt{12} due to \phi, while the max of the function should occur at each axis having a value of \sqrt{12}...so I guess that, and a combination of the symmetry = 0.
Conceptually clear now...
That still results in theta integrating to 0.
Also, I'm reasonably sure that the range of theta is [0,2pi] as "the cone pi/4" means the angle pi/4 with respect to the z axis. It's a different plane, so "above" has nothing to do with the position of the x and y axis. The angle drops down from...
1 is definitely A.
The 2 shapes gradually become more alike, then the 2 step sequence starts over and repeats.
There are 3 variables in play: shape, size, color.
1: Same shape, Diff size, Diff color
2: Diff shape, Same size, Diff color
3: Same shape, Same size, Diff color
4: Same shape, Diff...
I apologize...didn't realize the Latex thing was on top of the message box. Anyway, time to make this more clear...
Evaluate the integral where E lies between the spheres p = 3 and p = 6 and above the cone phi = pi/4:
\int{\int{\int_E{xyzdV}}}
So basically, I convert to spherical...
Hey guyzerz,
I'm reviewing for an upcoming Calc. III test and have come across a review problem that is giving me fits:
Evaluate the integral where E lies between the spheres p = 3 and p = 6 and above the cone phi = pi/4.
The integral is TRIPLEINT[xyz]dV
So basically, after...
Hey guys, I'm studying for a test in calc 3 tomorrow and have run into a problem. On the practice test we have a problem "Find the length of the curve: r=theta^2, 0≤theta≤pi/2"
I know the length of a curve in polar coordinates is int(sqrt(r^2 + (dr/dtheta)^2))dtheta...but when I get to where...
Mathematics can be used to study the natural world. I suppose this would be under the "physics" category...but it is mathematics nonetheless. Also, I suppose "natural mathematics" has realms outside of physics (modeling, etc.)
You have got to be kidding me.
CS is not a natural science. Sure, a good amount of logic is involved, but it is logic geared towards implementing a man-made system (hence it not being natural.) Mathematics is a pure language used to explain natural phenomena, while computer science has a...
Math = natural science
CS ≠ natural science
Math is more fundamental to logical development than is computer science. Therefore, I would venture to say that a CS major would benefit from math more than a pure mathematician would benefit from CS.
Your opinion doesn't turn my opinion on it's...
Yeah, I'm at ECU. Interesting...I just don't understand why part of the core of the BS degree in math would be programming...but I guess that's just my luck.
Thanks for all of the help guys.
What is "Algorithmic Problem Solving"?
Hi all,
I'm trying to get a head start on next semester's difficult classes and am kind of confused about what a certain class entails.
I have a Computer Science course that is part of the core for my math major:
"CSCI 2310, 2311. Algorithmic...
I had the same attitude in high school as you did...but when I got to Uni I decided to buckle down and consequently earned a 3.74 during my first year (one C bringing me down...didn't go to that class for the final 7 weeks and paid the price [really low homework grade!]).
I'd say, as long as...