I want to test a series of 36 time periods and 10 data points for each one of those periods. The goal is to see which data points have the biggest effect on change from one period to the next.
I thought Chi-Square was the way to go, but I do not have any expected frequencies here. Regression...
The drinking age could actually be lowered to an age like 15 (similar to Europe), but the lack of public transportation in such a large country as the United States makes it a dead issue. The driving age should actually be lowered across the board to 16. Raising the driving age to 17 or 18...
It was looking right until the end...
Sixth derivative - you forgot a negative sign
Ninth derivative - 512, not 412
Tenth derivative - the sign probably stays the same after double corrections, 512*2=1024
Other than those small errors, you are golden!
f(x) = sin^2(x) - sin(x)
f'(x) = 2sin(x)cos(x) - cos(x)
2sin(x)cos(x) - cos(x) = 0
cos(x)(2sin(x) - 1) = 0
Solve for cos(x) = 0 & sin(x) = 0.5
Then you need to test values for all x values that satisfy those equations within the boundary 0 < x < \frac{3\pi}{2}