00:01
Okay, so we've been asked to find the average rate of change past two for these three different intervals and use it to estimate the instantaneous velocity or instantaneous rate of change.
00:13
So i've already made a table of values here, plugging in 2, 2 .1, 2 .01, and 2 .001, and we are going to need to use the average rate of change, which is just the slope formula to calculate these things.
00:25
So we're going to have, from 2 to 2 .1, we're going to have 55 .44 minus 56 over 2 .1 minus 2, which is just going to be 0 .1.
00:42
And that comes out to be negative 5 .6.
00:46
Then if we do the next interval from 2 to 2 .01, we're going to have 55 .984.
00:55
Over 0 .00, i'm sorry, .01, sorry, minus 56 over .01.
01:08
That comes out to be negative 4 .16.
01:11
And then if we do the last one, we have 55 .9958 minus 56, divided by 0 .001.
01:21
And that comes out to be negative 4 .02...