Measurement is an inherently uncertain subject. Whenever you measure something, there is some error involved — hopefully you know what it is. If you know what the Earth’s radius is and what the error in your measurement might be, you can find the volume of the Earth. A change in the earth’s measured radius isn’t the same as the subsequent error in the calculation of it’s volume…
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This video helped me a little bit on some of the homework problems for section 3.2. It helped me with linear approximation and calculating error also.
This pencast greatly helped with my understanding of linear approximations and where the error term comes from. It was also helpful that there was explanation for every step of the calculations too!