Plot velocity versus time.
The Area under the curve is the distance traveled for a given time interval.
Using the formula for volume of a trapezoid...
A =h (a+b)/2
Where:
a=v
b=15 m/s
h=7 s
A=70 m
then
70=7(v+15)/2
140/7=v+15
v=20-15=5
Show that 1/5 is ...
Using () to represent the repeated digits under the vinculum and everything base 4.
Then show that 1/5 is ...
(03)1.(0)
Step 1: Calculate 4/5 (base 4)
[FONT=Courier New]
0.3030...
------------
11 / 10.0000...
3 3
---
100
33...
Below is a conjecture that I can't prove.
It was inspired by a math trick for division when the (base 10) denominator ends in the digit 9.
Can anyone help me out with a proof?
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Here is an excell example,
I was examining the AKS and discovered this conjecture.
Please prove the following true or false.
Let n be an odd integer >2
then n is prime IFF
$\left(
\begin{array}{c}
n-1 \\
\frac{n-1}{2} \\
\end{array}
\right)
\text{ $\equiv $ }
\pm 1$ mod n
Here is a link to lesson 2 of a Classical Mechanics on-line course at Stanford.
At location 1:26:15 Lenny defines COV and introduces it's importance to Classical Mechanics. That application is calculation of "least action" in finding the trajectory of point masses in a system.
This shows an...