Recent content by FactChecker

1.2 is 24% of 5, not 6%. This is not a physics or math question.

This is an exercise to learn how to use Taylor's Theorem in a familiar situation where ##\sqrt 8## is known and easily obtainable with great accuracy. In fact, if you are counting on getting this from your calculator, it uses a numerical method (probably better than a Taylor series...

Sorry. I didn't see that you already had a similar example for what you call Case #2. I thought that you were trying to prove that was not possible.

Consider ##f(y) = 1-y^2## and set ##y \equiv |x|##. It will have its maximum at ##x=0## and equal 0 if ##|x| = 1##.

Electrical engineering is applicable in so many diverse fields that there are a multitude of possibilities. In the field that I am most familiar with, there are always uncertainties in the inputs. Kalman filtering is used to merge uncertain inputs into a best guess. I think that you can find...

Those basic principles are applied in very large systems. For instance, in fighter aircraft flight control development, the equations of motion and the flight control system have dozens of interrelated variables and differential equations. The stability of the entire closed-loop system is...

Good point. But the OP ran into trouble long before that with the normal DVDs. For important information, data can be retrieved long after the general public no longer has the required equipment. Even very old records can be scanned with lasers and played. As a practical matter, I would...

That is an excellent question. In this case, it is assumed that only real values for x and y have a physical interpretation so the complex roots are not physically meaningful. If you continue farther into the subject, you will study Laplace transformations. In that, the positions of complex...

He has a lot of information in his channel for the amateur astronomer. Much of it is about repairing/refurbishing telescopes.

I have a friend who has a YouTube channel and can take good pictures with smartphones. Here is a link to one of his videos with a review of a smartphone adapter for telescopes.

There are CDs and DVDs for long term backup that will reliably last a century if stored reasonably. See Verbatim archival grade gold DVD-R. They are on the expensive side, but, IMO, not crazy extravagant.

Excellent! If you like that, you might be a programmer at heart. You might have found your niche.

IMO, looking for references is not the most important thing. This is a learning exercise for a class. One important thing to learn is to look very hard for things that might invalidate your experiment. What if there is a difference when the weight is heavier on a bad axle? Is there some way to...

Same total mass? Do your experimental results support your theory? If you are experimenting, it is important to not bias your results with a preconceived theory. First, you should realize that F=mA, so your theory is really about the effect of weight distribution on the acceleration force, F...

Good point! This looks more like the situation with computational fluid dynamics, where the value at each point (i'th) depends on all surrounding values. That requires iteratively converging to a solution that is all compatible and consistent. I have no experience with those techniques, but I am...