HW 6: Error Propagation (100 points) Problem 1 Propagating the error through a single-variable function (50 points) A variable is measured to be A-9.274+0.005. Calculate the mean and uncertainties in Z when it is related to A via the following relations: Each assignment is 10 points. a) Z = 2A b) Z = A/2 c) Z = A-1 d) Z= A+1 A A-2 e) Z = Arcsin(-) Problem 2 Propagating the error through a multi-variable function (50 points) Three variables are measured to be A=12.30.4, B=5.60.8, and C=89.00.2. Calculate the mean and uncertainties in Z when it is related to A, B, and C via the following relations: Each assignment is 10 points. a) ZA+B b) Z=A-B c) Z = A-B A+B d) Z = AB e) Z = arcsin()