I just watched another HALO Legend, The Babysitter
I have to say, it was really inspiring....just like those other ones I posted. This one is inspiring in a different way. The first two I shared (Origins) were inspiring in that they made you think about humanity and stuff.

This one, The Babysitter was more of one of those emotionally moving ones. After you watch it (if you do, of course. There are a few bad words (not the f word though) and it has a little gore, but I still recommend it) think about the people who care for you. *cough*-parents-*cough* ...or even anyone who benefits you. Are you thankful for these people? Do they mean anything to you? If you are still alive, your existence obviously means something to someone.

To Jesus freaks like me, what's your attitude to God? We pray before we eat, and it's good to thank God for providing us with food, but what about our lives? We owe our existence to Him, but do we care? God still loves us, but do we ever say "Thank You" for our lives?
What about our spiritual lives? How often do we give thanks for salvation? Maybe once a month or something during Communion at church, but seriously....?
A few times a day we thank God for food, but only a few times a year do we thank God for dying to save us.

Try to remember God's gift of salvation more often. When Jesus says at the Last Supper to remember Him, he's actually referring to every time we eat. We're not supposed to remember his sacrifice only when Communion is served, but rather, every time we eat......wait actually not really. His point was that we should continually remember his amazing act to give us life. As often as we eat, we should have Jesus's sacrifice in our minds.

So....maybe try to remember His death on the cross more often? Maybe....when you eat?


Since I didn't talk about this one either, I might as well now:
A few days ago, I watched Prototype. (Another HALO Legend; on the website, it's the one above The Babysitter) This one was really inspiring (wow most used phrase huh?) as well. This is probably the one that struck me the most as "inspiring" though, but I can't really spoil it for you. There's that one short part (it's not a "scene", it's more of a "moment") where it's really touching.
The film might be a little confusing at first, but the flashbacks make it that much more intense.
I didn't give the link for this video, because I really want you to watch it on the actual site (a few lines down), and not in a YouTube.

(Remember you can watch all the HALO Legends here)

has been going pretty well: Grades have been pretty good, and we're getting started on the group project.

On the quiz last Thursday, I got a 13/15 (terrible). Here's how:

First off, I do have to say I got every question correct. Well then..... This is one of those things where you have to show your work.

1. Find the derivative of . Simplify your final answer.

Instead of right-off-the-bat bashing with quotient rule, I separated the original fraction into two, like:

I don't know if that makes things easier, but for me it just doesn't clutter the page up as much. Yay got the right answer on that one, 4/4 points.

2. Find the equation of the tangent line to the curve at

Differentiate, plug in 0, point-slope form, done. 4/4 points

3. Suppose is a differentiable function. Find and simplify an expression for the derivative of the function:

Once again, instead of straight-up Quotient Rule, I separated the fraction. We say:

Taking the derivative of that is slightly easier because the first term can be done with reciprocal rule (although for some reason I used power rule lol).
This second term was weird. Here's what I have written down on my paper:

lolwut. (First term is from being stupid and using the power rule, second term is who knows what)

Looking back, I think I started off thinking quotient rule, and then used (mixed in) product rule, and finished off with quotient rule. As I look at the problem now with a more sane head, I would probably use product rule, cuz can be simplified as $\sqrtx{}f(x)$.

But the crazy part: I still got the right answer. The rest of the line looks like:

\[ = -\dfrac{1}{2x\sqrtx{}} +\dfrac{\sqrt{x}f(x)+x\sqrtx{}f'(x)}{x} \]

I put a box around that, and then thought maybe that's not really simplified. So I combined the two fractions into one and wrote that on a separate line and boxed that too.
Turns out, both answers were counted as correct, but the teacher circled that weird term $\dfrac{\sqrtxf(x)+xf'(x)}{x} $ and put a big X through it. Under it, she wrote "Using Product Rule or Quotient Rule? looks like some combination!!"
lol got 1.5 points off for that. XP 2.5/4 points.

4. Carefully evaluate the limit in a mathematically precise way. You may assume that


This is pretty straightforward for me. Just go:

(Actually at this last step, I didn't separate the fractions, I just circled the and drew an arrow to a 1. Under this, I had in parentheses: Let , as , then as )
Continuing:


There was just a note that said "Show work more carefully" -I guess I shouldn't do that circle/arrow thing. Half-point off for that. XP 2.5/3 points


Not much to say for the group project right now. Our group just decided today who was going to do what, and guess who gets to do the hardest problem?
XP
While we were standing around there after class today, 2 guys (out of 5 guys [YES!]) were looking at the textbook on their phones. (Online version) We were sorta picking problems (more like randomly saying what parts we would do) and I was supposed to pick problem 19- part b or part c. I had no idea what they were, and I just said "b".
Of course part b is the "show" and not a "find" or "calculate".
I don't even want to post the problem: it's too long.