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1 vote

When are students taught implicit and parametric representations of curves?

(Although the OP asks for USA, this answer is for maths in England and Wales, for context and comparison) In Britain, Higher tier GCSE students (age 14-16) will meet $ax+by=c$ as the equation of a ...
James K's user avatar
  • 289
0 votes

When are students taught implicit and parametric representations of curves?

I think college prep kids (your general population at a "Sister" school) will have seen this stuff. But it will not be as ingrained as polynomial differentiation or the quadratic equation. ...
guest troll's user avatar
8 votes

What kind of sequence is between an arithmetic and a geometric sequence?

Since a comment asked for something from practical situations: The runtime complexity of computer algorithms gives a huge variety of sequences with all kinds of growth behaviour - and understanding ...
Jochen Glueck's user avatar
4 votes

What kind of sequence is between an arithmetic and a geometric sequence?

That's a fun geometric example! Mine are more combinatorial. As Justin's answer mentions, any sequence where terms grow polynomially (with degree greater than one) is an example. For example, the ...
usul's user avatar
  • 219
15 votes

What kind of sequence is between an arithmetic and a geometric sequence?

Polynomials with $\textrm{degree}>1$ grow faster than arithmetic sequences but slower than geometric sequences. More generally, after sufficiently many terms: \begin{align*} & \textrm{logarithm}...
Justin Skycak's user avatar
14 votes

What kind of sequence is between an arithmetic and a geometric sequence?

The hidden connection between arithmetic and geometric sequences If we stack circles on the function $y=|x|^\color{red}{1}$, the sequence of radii is geometric. (proof) If we stack circles on the ...
Dan's user avatar
  • 1,245
0 votes

How can a church or other non-academic institution find and hire math teachers?

Hiawatha (what a great name!), This is an awesome question. Hard to answer. But awesome. And I love how direct you were. Googling math teacher salaries for Boston, they range from 50-100K. With the ...
Fermi estimate guest's user avatar

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