The discussion focuses on calculating the partial diameter error of the surface area of a cylinder using the formula (ΔSA/ΔD) = 2πHΔD. Participants emphasize the importance of correctly applying derivatives and clarifying that D should not be confused with ΔD. The correct formula for partial diameter error is confirmed as Partial Diameter Error = (2πH + πD) * ΔD. Accurate differentiation and careful attention to constants are crucial for obtaining the correct values.
PREREQUISITESStudents and professionals in mathematics, engineering, and physics who are working with calculus and need to understand error analysis in geometric contexts.
Thanks! But, actually, I don't really get it.. Now, the formula is Partial Diameter Error = (2πH + πD) * ΔD?Cutter Ketch said:You didn’t do the derivative correctly. Write the formula more carefully and then take the derivative more carefully. Hint: D is not ##\Delta D## (but also careful with the constants)
Start by posting the formula you are using for the area.abobik said:Thanks! But, actually, I don't really get it.. Now, the formula is Partial Diameter Error = (2πH + πD) * ΔD?