Math Community Quiz

[ruler501]

The Rules:

1) A asks a question, the rest will try to answer.
2) A must confirm which answer is correct.
3) Person (say B) with confirmed correct answer then asks the next question.
4) A can't win right after B
5) Repeat.
6) If person asking question doesn't login to confirm answers within 96 hrs of his question being posted, any one can ask a new question.
7) If no one can answer question within 96 hrs or can't get the right one, questioner can ask again.
Use personal knowledge to answer questions don't use the internet or teachers
9) If answer has been confirmed and the new questioner hasn't set a question in 96 hours, anyone can ask the new question.
10) You can ask questions on any aspect of mathematics
11)Calculators are allowed and encouraged

Lets start with an easy one:

You are told a functions slope at any given time is x^-1 What is the equation?

[Runer112]

ln(x) I think... My calculus skills are a little fuzzy

[calcdude84se]

ln(abs(x)) works

[ruler501]

calcdude84 gets it he asks the next question

[calcdude84se]

Yay
Here's one (calculator is helpful): What is the 2nd digit after the point ('.') when 10 is converted to base pi^2?

[SirCmpwn]

You can have a base of pi squared?  Don't bases have to be integers?

[calcdude84se]

Nope

[nemo]

You can have a base of pi squared?  Don't bases have to be integers?

if log bases had to be integers, so would exponent bases.

[ruler501]

there is an answer you just have to work out each place value
10's spot would be equal to pi^2 1 would still be ones The first decimal place would be pi^-2 The second decimal place would be pi^-4
11.11 in base pi^2 = 10.981191567

[SirCmpwn]

Yeah, I found out a method of converting between non-integer bases.  I'll take a crack at it later.

[nemo]

int(ln(10)/ln(pi*pi)*100)

[SirCmpwn]

Why are you converting it to an integer?

[nemo]

Why are you converting it to an integer?

he wants the second digit after the decimal place, and a digit cannot have a fractional part. i multiply by 100 to get the second digit. i'm too lazy to calculate it out

[SirCmpwn]

Oh, I see.  I would have just left it as is, and counted to the second digit after the decimal.  I don't deserve credit for the answer, but it is 7.

[jnesselr]

I got 100.011... as the answer. So I'm gonna say 1.

EDIT: just realized mine is wrong.