Recent content by cerealkiller

Hello Mathematicians! I'm doing some work on obtaining true measures of ability for students, and am trying to find a simple mathematical example that would show that a student's true ability is obtained by having a few equally weighted tests rather than one big test. The example I'm thinking...

Thanks! Are there any others that you know of? There are some obvious no-nos, multiplying both sides by 0 being one of them, but I was hoping for one that was maybe a little more subtle.

Hi guys, I have to teach inequality proofs and am looking for an opinion on something. Lets say I have to prove that a2+b2≥2ab. (a very simple example, but I just want to demonstrate the logic behind the proof that I am questioning) Now the correct response would be to start with the...

Ok, I've done all of it except actually prove that the path is a parabolic segment. All of my algebra bashing comes down to proving that something of the form y = x^2 + (d^2 +x^2)^(1/2) is a parabola (where d is a constant). Is that trivial or am I missing something? I've used some graphing...

Ok, that was my mistake. I assumed that because the max range of the spray would occur at 45° then the maximum height would for a given velocity at a given horizontal range would occur at the same angle. Forming an equation with y and θ when x=d, where θ is the initial projection velocity...

If you assume the parabola has height 15d/8 you can pretty easily figure out how wide the parabola will be (I got it to be 2d√15), then using Simpson's rule you can get the correct expression for area, I just can't get to the 15d/8 part. Not sure what I'm doing wrong, I let x = d, then find...

Hi guys, Doing a projectile motion question, I think I know how to do it but I can't get the answer it wants me to. Anyways: A tall building stands on level ground.The nozzle of a water sprinkler is positioned at a point P on the ground at a distance d from a wall of the building. Water...