Recent content by sacscale

Substituting n=k+1 into 2n-1 gives 2(k+1)-1.

It was factored out, note the brackets.

Mathematical induction attempts to show that if the equation holds for n, then it also holds for n+1. It's easier to keep straight if you use a substitution such as n=k+1

Reminds me of an engineering student who told a co-worker that he shouldn't drain the water out of his ice chest because of it's heat capacity. The co-worker replied he didn't want his food to get too soggy.

Indeed, but the OP seemed to have trouble determining which one.

Because the satellite is moving very fast. Another force would either slow the satellite down, so it would move closer to the earth, or speed it up, so it would move away from the earth.

You need to determine the stopping time.

There seems to be some missing information.

At the tangent to the surface is a right angle.

For c you would need the volume and amount of energy needed to raise the temperature 80°C and this would seem to be your Q out.

One side is the radius the other is the radius plus 1.70m.

I'd like to see a better description on that first sentence too.

Looks like a trigonometry problem. You are given two sides and the angle between them.

You might be interested in Hawking's "A Brief History of Time".

Depends on what "K" is, I suspect it's the carrying capacity.