Recent content by Piglet1024

1. A metallic semi-spherical bowl is filled with salty water. A metallic ball is suspended at the center of the bowl, so that it is half submerged in the water. The outer radius of the ball is a, and the inner radius of the bowl is b. The conductivity of the water is \sigma. Calculate the...

Part of the definition of a metric is the triangle inequality: d(x,y)\leqd(x,z)+d(z,y) Apply to number 3

1. Define numerical equivalence of sets 2. I'm not sure how in depth the definition needs to be, how is my current def? 3. X is numerically equivalent to Y if \existsF:X\rightarrowY that is bijective or there are two injective functions f:X\rightarrowY and g:Y\rightarrowX

I have to describe the interior of the subsets of R: Z,Q. I don't understand how to tell if these certain subsets are open or how to tell what the interior is, can someone please explain

Question seems to simply be (65kg)(0.73) since mass is independent of gravity or what planet one is on.

1. A uniform coin with radius R is pivoted at a point that is a distance d from its center. The coin is free to swing back and forth in the vertical plane defined by the plane of the coin. For what value of d is the frequency of small oscillations largest? 2. V(x)\equivpotential energy...

I didn't include the function, because I want to try to solve that part on my own, but it's actually a triple integral, so I would be correct in having z vary from 0 to x+y if I were to integrate with respect to z first?

1. I need to find the region E bounded by the parabolic cylinders y=x^2, x=y^2 and the planes z=0 and z=x+y 2. y=x^2, x=y^2, z=0, z=x+y 3. I figured that I should let z vary between zero and x+y and then find x and y in terms of actual numbers? I'm not entirely sure. I've graphed it in...