Please follow the instruction carefully and answer completely. Please solve everything on paper with all the explanation. Do not copy. I ll upvote your efforts.

Let g(x,y,z) depends on x,y, and z via Equation 1 and the collected data is shown in the table (average values and uncertainty for x,y,z). g(x,y,z)=x2+yz (Eq. 1) 1. (8 point) Derive the expression for the uncertainty (g) as a function of xngg,yang zno x,y, and z. (Hint: It should have three terms under a radical) 2. (8 point) Which uncertainties of the independent variables (x,y, or z) has the highest initial "percent uncertaint y "? (Example: "Percent Uncertainty of x " =x/xavg ) 3. (8 point) Which uncertainties of the independent variables (x,y, or z) has the highest impact on B ? (Hint: which of the three terms in the radical was the biggest) 4. (8 point) is the percent uncertainty of g(x,y,z) more or less than that of the independent variables? 5. (8 point) You are given the task to decrease the uncertainty of the measured variable (g). Which variable would you recommend to investigate and/or change