I'm getting frustrated at this one problem.
On my latest BC Calc test, the first problem essentially asked:
cos(x) = -2e^(-2x)
Firstly, it doesn't specify whether the cos(x) function is to be in degrees or radians. So a lot of people answered 0 (because they were in degree mode, even though radians should be assumed).
Secondly, the the solve() command on the 89 is misleading without bounds. It only gives 2 solutions in the domain [0,10] when solving without bounds. So a lot of people answered 2 (because we never learned how to use bounds in class).
Thirdly, all Calc problems *should* be modeled after the AP Calc BC test, where all problems *should* be solvable WITHOUT a calculator. There is no way it was possible without a calculator, as far as I've been able to do. I didn't like this problem.
Thoughts? A way to solve this without graphing or using solve() (or similar)? A way to solve this using only pencil and paper?