course Mth 173
Would you let me know if I am missing an assignments up to now or am I up-to-date on my assignments?
My impression is that you're up to date. Check your posted work against the assignments and let me know if any of the assigned work remains unposted.
You're almost there. Copy the few lines below this point and see if you can respond. This time denote your comments by &&&&. What therefore do 3.2654 and 8.6308 represent? **
*(*( How fast/slow(rates) the depth is changing.
y(13.9) = 3.2654
y(27.8) = 8.6308
I didn't notice it before, but you wouldn't use y for these quantities. y stands for depth. You would use either y ' or r:
y ' (13.9) = 3.2654
y ' (27.8) = 8.6308
or alternaitvely
r(13.9) = 3.2654
r(27.8) = 8.6308
3.2654 + 8.6308 = 11.8962
11.8962/13.9 = .8558 (average rate of depth change)
The rate of depth change varies from about 3.3 to about 8.6. Over this interval the rate of depth change is constantly increasing from the lower to the higher value. So the average value of the rate of depth change would not be .856. This would be much like saying that your speedometer goes steadily upward from 20 mph to 60 mph, and your average speed is 2 mph.
If your speed went steadily from 20 mph to 60 mph, what would be the avearage speed?
&&&& The average speed would be 20+60= 80/2 = 40
If your rate of depth change goes from 3.3 to 8.6, what is the average rate of depth change?
&&&& 3.2654 + 8.6308 = 11.8962/2 = 5.9481
Once you know the average rate of depth change for this interval, what can you then find? Hint: What is the definition of the average rate of change of depth with respect to clock time?
&&&& The average rate of change of depth with respect to clock time over an interval is change in depth/change in clock time.
I promised to tell you the answers if anything was missing, but I can't resist the temptation to let you put the last key thing into place yourself:
You just determined that the average rate of depth change would be 5.9481.
You stated that 'The average rate of change of depth with respect to clock time over an interval is change in depth/change in clock time. '
You have the information you need to find the change in clock time, which you have already used in other calculations.
So how can you put all this together and get the change in depth?