Class notes 10/25 (ira iz da be$t)
Passed back quizzes.
Reviewed number 4 on front.
Make the denominator equal to zero to find vertical asymptotes, and find the limit of the function to find the horizontal asymptote.
Reviewed number 3 on back.
“Let f(x) be a function such that f(2)=3.”
Limit of f(x)=3 is x approaches 2 isn’t true.
f(x) isn’t necessarily continuous.
f(x) isn’t necessarily differentiable at x=2.
Therefore, none of the above.
Reviewed number 4 on the back.
Reviewed Homework:
Reviewed slope of tangent lines to find derivatives.
Such that: 
is the derivative of 
.
Acceleration:
Therefore, the velocity is the derivative of displacement, and acceleration is the derivative of velocity.
Parametric: (#5)
Start by choosing “Par” (parametric) in the Mode function.
Enter in “Y=” 
and set window accordingly.
Use trace to examine movement of the particle, the function will look like a straight line, however. This is because parametric can examine the horizontal displacement of objects only, rather than the vertical. The vertical can be entered though to examine it with the horizontal or separately.
The derivative of this function is the velocity:
If v = 0 the particle is stopped.
If v > 0 the particle is moving right.
If v (is less than) 0 the particle is moving left.
Started the Bouncing Ball Problem:
We began by testing the ranger by trying to recreate movement graphs with our own bodies. Ira did the best job.
AMass then held the ranger high up and DanG dropped a ball underneath to produce a wonderful graph of displacement.
We then reviewed the velocity graph, the derivative of displacement, and the acceleration graph, which should have a constant -9.8.
We then zoomed in to look at a single parabola in the distance v. time graph. The derivative of this is the velocity, which has a slope of -9.8. WOAH!
Homework:
Read section 3.6 in calculus books.
Complete graded homework with bonus for next class.
Study for final quarter 1 quiz next class on Chapter 3.
