Given two measurements, x and y, which both have uncertainty. Use the general error propagation formula, δf = vuut ∂f ∂xδx!2 + ∂f ∂y δy!2 to derive the error propagation formulas, i. e. the expression for δf, for the following specific cases as found in the Taylor textbook. (a) Scaling by a constant: f = Cx where C is a constant with no uncertainty. (b) Addition: f = x + y (c) Multiplication: f = xy (d) Division: f = x y