Question 3.1 In a coal processing plant, the flow of slurry along the pipe is given by V = " pr" 8.xy If r and y both increase by 5%, and p an x decrease by 10% and 30% respectively, find the approximate percentage change in V. 3.2 Suppose that U(x;y) = xe" + ysin z , and that x, y and z can be measured with maximum possible errors of ±0,8 units, ±0,5 units and ±4 units respectively. Estimate the 15 maximum possible error in calculating U if x = 2, y= In 3 and z = 2

Question 3.1 In a coal processing plant, the flow of slurry along the pipe is given by V = " pr" 8.xy If r and y both increase by 5%, and p an x decrease by 10% and 30% respectively, find the approximate percentage change in V. 3.2 Suppose that U(x;y) = xe" + ysin z , and that x, y and z can be measured with maximum possible errors of ±0,8 units, ±0,5 units and ±4 units respectively. Estimate the 15 maximum possible error in calculating U if x = 2, y= In 3 and z = 2