As you can see, it's 6:17 on Monday morning; the day after I was supposed to do my blog. Surprise, surprise.
Where should I start? This year was a challenging one to say the least. It was very fast paste at the beginning of the year. We learned most things in the matter of only a few days. Maybe even just one. Throughout the year, though, we went over the same topics again and again, but some people--like me--still never caught on to some of the things taught until the very end. Some things I eithe don't remember how to do or never really understood include optimization and angle of elevation. These two are related a good bit. I'm pretty sure I was awesome at optimization problems. I think I also understood angle of elevation a little, but now if you'd ask me to do a problem, I couldn't. I was also confused toward the end about natural log integrals. I would never recognize them. I would also never recognize the trig functions that gave us so much trouble in advanced math.
I did pretty much master derivatives, though. Some other things I'm pretty decent at include regular integrals, e integration, limit rules, area graphs and volume graphs.
Many people mess up on substitution. I do sometimes too, but I think I do well at remembering what has to be done in the process. e integration is also really easy. The exponent of e will always be u and its derivative will always be du. You set it up as e^u then solve that way. Limit rules: if the degree of the top is greater than the degree of the bottom the answer is infinity, if the degree of the top is less than the degree of the bottom the answer is 0. If the degrees are equal, you make a fraction with the two terms infront of x. Also sinax/bx will always be a/b. I remembered this at the beginning of calculus, but now I find myself using quotient rule to figure it out.
Area and volume graph problems are always the same. You just integrate. For area, it's top -bottom. For volume it's top^2-bottom^2 times pi.
This year really has been fun with all of you. It still didn't hit me yet that my last day of high school is going to be Wednesday. I'll really miss you all and I'll never forget any of you. Except maybe Mher, because none of us really remembered he was in our Calculus AB calss when he was there.
Bye everyone!!!!
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thanks mamie :(
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