HW 6: Error Propagation (60 points) Problem 1 Propagating the error through a single-variable function (30 points) A variable is measured to be A=9.2740.005. Calculate the mean and uncertainties in Z when it is related to A via the following relations: Each assignment is 10 points. a) Z = A b) Z = In(1/A) c) Z = 10A Problem 2 Propagating the error through a multi-variable function (30 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) Z = A * B * C b) Z = In(ABC) c) Z = exp(ABC)