Probability Practice

I was asked to post the answers to the practice problems from today.  Enjoy:

https://drive.google.com/file/d/0B2XYF8oNHClQQTVoZkREcHVHdHM/view?usp=sharing

https://drive.google.com/file/d/0B2XYF8oNHClQMTlsTGV0S3hEWHM/view?usp=sharing

Oh, yeah: I sent a tweet out earlier about someone's birthday.  He was almost a Leap Year baby.

Calculus Class Today

OK, I found my mistake and it makes for beautiful stuff.

First, here is where we were...

When I cancelled out the square from n, I forgot to carry the n through.  It is below in red.

So, instead of taking out the 1/3, I just broke up the numerator and made three fractions with 3n as the denominator.

Then, I distributed the 2/n back through and simplified.

Since this is a limit at zero, everyone with an n in the denominator goes to zero.

That leaves us with adding the constants.

When we bring back in what we determined about the integral of 2 from earlier, we get...

If you remember, our estimate with the rectangles and trapezoids was 12.75.  Look how close we got to the actual area, using just 4 rectangles or 4 trapezoids.  I wonder how many more rectangles or triangles would shrink that 0.08333... difference?

Analytic Geometry Test # 3

Tomorrow is the Analytic Geometry Test over Parabolas.  Specifically, we are graphing parabolas, detailing their chief characteristics, convert between vertex and standard forms, analyzing transformations, and solving quadratic word problems.

https://drive.google.com/file/d/0B2XYF8oNHClQeXNPZVhEMzliMFk/view?usp=sharing



By the way, I wonder where I was when I was Tweeting that stuff Friday while I was not at school...





































Americus

Analytic Geometry Test # 2

Here are some links for tomorrow's test.

These include the answers to the pages we worked on in class today, as well as a link to some more inequalities.

https://drive.google.com/file/d/0B2XYF8oNHClQZVhQMXh2UnhOcG8/view?usp=sharing

https://drive.google.com/file/d/0B2XYF8oNHClQMDEyUkVGc2k0SG8/view?usp=sharing












By the way, I may Tweet out the foreign country that I used to live in, that is, if I can remember...