The problem involves calculating the maximum absolute error in the expression a + 2b - c, where the variables a, b, and c have associated uncertainties. The values provided include a = 11 ± 0.5, b = 0.04562 ± 0.0001, and c = 17200 ± 100.
The discussion is ongoing, with participants seeking clarification on the definitions and representations of the values calculated. There is no explicit consensus on which answer is correct, and the exploration of the problem's requirements continues.
Participants are navigating the nuances of error calculation and the implications of the uncertainties associated with each variable. The repeated questioning of the problem's requirements suggests a need for clearer definitions or assumptions regarding the calculations involved.
Nerd10 said:Homework Statement
Given a=11+/-0.5, b=0.04562+/-0.0001, c=17200+/-100. Find the maximum value of the absolute error in a+2b-c.
Homework Equations
absolute value of (0.5+2(0.0001)-(-100)=100.5002
11-0.5=10.5
0.04562-0.0001=0.04552
17200+100=17300
absolute value of (10.5+2(0.04552)-17300)=17289.40896
The Attempt at a Solution
Which of these answers is the correct answer? Is it 100.5002 or 17289.40896?