So update: There are 22 questions, she said about 1 question of each "topic", and one of the questions will be Riemann's sum... Idk if that means integral or whatever we're doing right now, but
if you continue with calculus you'll learn a lot of shortcuts later on so you don't have to do this limit and sum every time. (that would be a pain if you had to)
but this is all that it really is
congratulations, you now understand half of calculus
right! instead of the x-values 2, 4, and 6, you pick whatever x-values give you the smallest result when you plug them in - they may be 2/4/6, but they also may not be
it depends on how you set up your sum - if you chose your strips to cut up the range from 0 to 4, you would get ∫[0,4] ((x^2)+1) dx. if you chose your strips to cut up the range from 2 to 6, you would get ∫[2,6] ((x^2)+1) dx
Yeah. I random guessed on 5 questions because of time
Looking at the answers I compared with my friend (after we turned our test in of course) looks like I missed all the ones I guessed. We disagree on one of the answers
Perhaps you're right. I just don't see how (k/A + 3e^(-kt)) will be maximum at t = infinity. As the second part is an exponentially decreasing function(for k and t>0), it's maximum value would be at t = 0. Or so I think
and then diff eqs comes in and is like "here's a bunch of calculations to do! also here's a bunch of formulas to memorize with absolutely no motivation behind them"
