Post.

Before I start word counting, let me just say that I am never missing another day of school. Ever. I was sick for like a week, and when I finally decide to go to the doctor to get well (which, might I add, cortisone shots are amazing..for about the first 9 hours), I come to school and am bombarded with all kinds of things. Homework. Quiz. And the Like. Majorly upset about that one.

So calculus. Yeah.

I was fine up until angles of elevation (day I got back, and was just completely out of my mind loco to say the least, the very least). I got implicit derivatives, and since I've been doing Calculus homework all weekend, I get/somewhatlove related rates. In an effort to gain wordage-word?-I shall complete a Calculus problem (wonderful right??).

Implicit derivatives.

As in my last post, I believe the trick to implicit derivatives is just remembering to put y' or dy/dx when taking the derivative of y. Simple as that. An application of related rates...:

You have to identify what you are looking for and what you are given. Not only does this make it easier on you, it's kind of necessary, especially when you want those points on free response questions (or so I'm told). You also have to realize that when you are doing related rates, you have to put dy/dt or dx/dt or whatever whenever you are taking the derivative of some variable in relation to time (hence the t). So given that:

Given xy = 4

you want to know what dy/dt equals given x = 8 and dx/dt=10.

Take the derivative (product rule):

dx/dt y + dy/dt x = 0
Plug in everything:

dy/dt = -10y/8

= -5y/4

So, that's related rates.

For what I do not know:

1. Would anyone like to explain the steps(?) for angles of elevation?
2. Also, what exactly did everyone do on Wednesday?
3. On the homework that she gave us, does anyone get number 54? the shadow one? kind of lost!?

There is probably about a hundred more questions, but I'm going to go and finish the massive amount of work I have from missing one, yes ONE, day of school...Sorry.