So the formula is
My question is regarding the piecewise function.
I currently know the area of this function which is 12.8 and has a height of 8 and a base of 4. Using pythagorem theorem we get
So with that in mind I now go about finding the derivative of my function which is really just finding the first part of the equation.
Now putting back into the arc formula
Removing the 1 and putting it into the fraction gives me.
getting rid of the square root we have
If i have been correct thus far this is where things go a little bit hazzy and my answer doesn't look even remotely right.
Integrating I get approx 49.9 which is way above what I expected to get. Im expecting something close to why pythag gave me.
Maple suggests its roughly 9.6
So this function just has a "displaced point"? That will change neither area under the curve nor arclength.
I have no idea what you are talking about. A "function" doesn't have an area so you must be talking about the area below a graph of the function. But over what x range? From 0 to 4, this function rises from 0 to 8 so I guess you are talking about the area under from x= 0 to x= 4. Yes, that is 12.8.I currently know the area of this function which is 12.8 and has a height of 8 and a base of 4. Using pythagorem theorem we get
So all of that was to find the length of the straight line from (0, 0) to (4, 8)? Why? Just to get an estimate before you calculate the arclength?
So with that in mind I now go about finding the derivative of my function which is really just finding the first part of the equation.
No, is NOT equal to .
Now putting back into the arc formula
Removing the 1 and putting it into the fraction gives me.
In general, a+ bx is NOT equal to (a+b)x
Well, you didn't "get rid of the square root, you just wrote it as a 1/2 power.getting rid of the square root we have
You want to integrate .If i have been correct thus far this is where things go a little bit hazzy and my answer doesn't look even remotely right.
Integrating I get approx 49.9 which is way above what I expected to get. Im expecting something close to why pythag gave me.
Maple suggests its roughly 9.6
Do that by substituting .