Wave Generator

http://www.youtube.com/watch?v=1UxgYOB20QEhttp://www.youtube.com/watch?v=1UxgYOB20QE

Project

Mr.Fedirko can I do one on cars instead? We can talk tomorrow during 2nd or midday?.

Shifting

I'm still a little confused about the b variable or period in trigonometric shifting. To my understanding it determines how many  cycles the curve goes through in the period of 2 pi. I was wondering if I am right in amusing that this does not change the location of the curve but instead puts it in the perspective of 2 pi and describes the width. Does it affect anything else?

Quiz Questions

Quiz Questions
1. What is damping and amplifying? Describe and show example.
2. Cosecant, Secant, and Cotangent are reciprocals to sine, cosign, and tangent. True or false. If false, what are?
3. What point is pi/3 on the unit circle?
4. How does trig and cyclic functions relate to one another?
5. Given an equation (insert equation here), when is snowfall in Buffalo the lowest, highest, (range). What is the average? When was there the most snowfall? 

Optimization Uses

A bit off topic but because of my interest in engineering, all types at the moment, I found a game which counts on optimization to craft a bridge and transport cargo across. The goal is to design a bridge out of wood, steel, or rope and carry the cargo to the other side with a limited budget. You have to optimize the shape of the bridge to be effective and affordable.

It kept me busy for a few hours.

Cool Optimization

http://www.maplesoft.com/applications/view.aspx?SID=6573
This is a cool Optimization application that I found.

Inverse Function Theorem

http://www.slideshare.net/leingang/lesson15-inverse-functions-and-logarithms-slides
This is a good site to brush up your memory on the inverse function theorem. Flip through the slides to recall how to get and inverse of a function,and what the graph will look like. It was a good memory refresher. I hope you all like it.

Test Tomorrow

These are subjects i have written down in my notes that will be addressed in the test tomorrow:

•  Exponential's and Logs
• mechanics (example: 10^x=5)
• Applications (Growth/Decay, half life)
• Theorem (Phase/Limiting behavior)

Did I miss anything? Also I was wondering what you meant by phase, I saw that in my notes and it didn't trigger anything in my memory.

Upcoming Test

The test is scheduled for Tuesday of next week for the 6th period class the topics seem to be the mechanics, application, and theory of the logs and exponentials we have been learning. Theory Questions could be: Use limits to define e or How are asymptotes and limits related? We should discuss these so we can all get a good handle on the key theory questions on the test where we might normally struggle.

Test

When is the test going to be scheduled, because this was supposed to be our review day, and Tashi, I and some other kids from our section have questions that we need to talk over with you.

Answer

Negative suggest decay
Positive suggest growth

10 questions

1.Log10X=15
2.Ln10^2=X
3.Log10^10=X
4. What does p=poe^kt mean
5. What is damping
6. What is amplifying
7. ln10^3=X
8. What does log stand for?
9. What does ln stand for?
10. What is the base assigned for ln and log?

HELPPPPPPPP!!!!!!!!!!

What did you give us & COME TO SCHOOL WE NEED YOU

Homework problem

When I went through to check this last night it didn't seem to work but I couldn't find my mistake so I asked Khari today but he wasn't sure as well. I was wondering if anyone could help because it's getting pretty frustrating.

116)
a.
p=5000(1-(4/4+e^-0.002x))
600=5000(1-(4/4+e^-0.002x))
600/500=(5000(1-(4/4+e^-0.002x)))
.12=1-(4/4+e^-0.002x)
4/(4+e^-0.002x)=.88
(4+e^-0.002x/1)(4/(4+e^-0.002x)=.88(4+e^-0.002x/1)
4/.88=(.88(4+e^-0.002x/1))/.88
4.5455=4+e^-0.002x/1
.5455=e^-0.002x
ln(.5455)=ln(e)^-0.002x
-.606=-0.002x
-.606/-0.002=-0.002x/-0.002
x=303.026