Hey, I'm not sure if I got this answer correct, I've been having a hard time with using differentials to find the various types of errors, I was hoping someone could look over this and point me in the right direction if I'm way off.
The question isSo I know that the relative error is found through the quotient relation , so to solve this, I plug the differentiated function and the given function in, as well as right? *I got my value from the ratio between the number of erroneous minutes per whole degree by the total number of degrees.The area of a right triangle with hypotenuse is given by the formula
where is one of the acute angles. Use differentials to estimate the relative errors of the area if exactly and is measured to be with an error of measurement of
Is this the correct path to take? My work to solve the problem is below.
So the relative error is ?
Thanks for taking the time to look this over!
-Kasper
Using that I got a relative error of , is that what you got? That does make perfect sense though, thanks!
I was misunderstanding, I thought for some reason that I wasn't to include the differential of H and in the differentiation of A. But to just multiply the differentiated function A' by the differential of . Thanks again!