Refer to Exercise 12 in Section 3.2. Assume that 0 = 50 1 MPa, w = 1.2 0.1 mm, and k = 0.29

Refer to Exercise 12 in Section 3.2. Assume that τ0 = 50 ± 1 MPa, w = 1.2 ± 0.1 mm, and k = 0.29 ± 0.05 mm−1.
a. Estimate τ, and find the uncertainty in the estimate.
b. Which would provide the greatest reduction in the uncertainty in τ: reducing the uncertainty in τ0 to 0.1MPa, reducing the uncertainty in w to 0.01 mm, or reducing the uncertainty in k to 0.025 mm−1?
c. A new, somewhat more expensive process would allow both τ0 and w to be measured with negligible uncertainty. Is it worthwhile to implement the process? Explain.