Since i got an academic detention for not doing my comments on blogs this is my first of three new blogs to make up for the lost work.
I'll just start from the beggining since there is no one specific week i can talk about.
Average Speed:
An anvil falls off the roof onto Ryan's head. What is its average speed during the first two seconds if y=16t^2 describes the fall.
0: y1=16(0)=0
2:y2=16(2)^2=64 [0,2]
y2-y1 64-0
-------- =m so... m=-------------- =32
x2-x1 2-0
M=32
and for another explination
Instantaneous speed:
lim f(x+h)-f(x)
---------------
h->0 h
Find the instantaneous speed at t=2
y=16t^2 lim 16(2+h)^2-16(2)^2
f(t)=16t^2 ------------------------ =64
h->0 h
I seemed to have lost my notes on Point of Inflection and i don't remember how to do them at all so can someone post the notes and an example for me thanks.
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Points of inflection are found by using the second derivitave test:
ReplyDelete1. Take derivative
2. Take derivative again (second derivative)
3. Set equal to zero
4. Set up and test intervals with values you get from step 3
When you set up and test the intervals in step 4 you'll find where the graph changes. This is the point of inflection.
its second der test take the der twice you set what you get equal to zero and you set up your intervals.
ReplyDeletefirst u take the derivative and set equal to zero to get your critical values...
ReplyDeletethen you take the derivative of the first derivative and set equal to zero to get POSSIBLE points of inflection...
then u set up intervals with all these points, plug in, and when the invtervals change, the point is a point of inflection.