Post #7

I didn't get to post my last one because the internet people fail. Specifically the AT&T people internet. At the moment, I am at PJs doing my blog when I could be spending time with my MiMi. But that's besides the point.

If I do recall correctly, we basically worked on optimization (prepping for the quiz) and that big study guide (which I'm getting along with at the moment). After stressing for, I don't know, 2 days for the OPTIMIZATION quiz (and putting "WTF?" by a lot of the attempted problems), I decided I was just going to stare at the paper until the information manifested in my head. That may have not been the exact case, but I don't think I did terribly bad on the quiz after all was said and done. I believe I actually did pretty good (remains to be seen...). Oh and by the way, I intend on asking every single little tiny question I have, so be prepared because I am so not failing the exam.
So, let's put my decent optimization skills to the test...yea right...and do an example problemo!!!! (Excessive Use of Exclamation Points without Real Enthusiasm).

Alrighty, I'm not going to do one. I changed my mind because I have to have the picture to work a problem like that, and I'd have to actually paint up one. Negative.

So, how about we do an example from the study guide...good idea? Maybe!??

Find an equation to the tangent line to the graph of the function f(x)=tan^8(x) at the point (7pi/5, 8049.922). The coefficients below are given to two decimal places.

So first to find the slope you take the derivative of the the tan thingy. You get:

8tan^7(x) * sec^2(x)----------take care of the exp. first then multiply by the der. of tan.

Now you must plug in your x value from the point given in order to find the actually numerical value slope. Which gives you 219,125.53. Now since you have a slope and a point, what do you do? Oh, that's right! Slope intercept formula!

y - 8049.922 = 219125.53 ( x - 252)-------the 252 is 7pi/5 in degrees.

and then you solf for y giving you:

y = 219125.53x - 955714.52
which is choice C!