1.   Refer to Exercise 16. Assume that T0 = 73.1 ± 0.1°F, Ta = 37.5 ± 0.2°F, k = 0.032 min −1 with negligible uncertainty, and T = 50°F exactly. Estimate t, and find the relative uncertainty in the estimate.

2.   Refer to Exercise 19. Assume that for a certain bacterium, r = 0.8 ± 0.1 µm and h = 1.9 ± 0.1 µm.

a.  Estimate S, and find the relative uncertainty in the estimate.

b.   Estimate V, and find the relative uncertainty in the estimate.

c.    Estimate R, and find the relative uncertainty in the estimate.

d.   Does the relative uncertainty in R depend on c?