Let d be the cylinder d = {(1,y, 2) = x^2 + y^2 < 1,0< < 10}
a) find the average of the squared distance, call it d2ave, between the origin (0, 0, 0) and points in the solid d.
b) is there a point (x, y, z) in the solid d such that d 2 ((0, 0, , y, z)) > d2ave? . if so, give an example of such a point. if not, explain why.
c) is there a point (x, y, z) in the solid d such that d 2 ((0, 0, , y, z)) < d2ave? . if so, give an example of such a point. if not, explain why.

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?

Sorry guys but as you have a small brain

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.