Answer Happy

please solve 18.2 based on 18.1 (answer of 18.1 is alreadyposted on answers please use it to solve 18.2)
18.1 Estimate the common logarithm of 10 using linear interpolation. (a) Interpolate between log 8 = 0.9030900 and log 12 = 1.0791812. (b) Interpolate between log 9 = 0.9542425 and log 11 = 1.0413927. For each of the interpolations, compute the percent relative er- ror based on the true value. 18.2 Fit a second-order Newton's interpolating polynomial to estimate log 10 using the data from Prob. 18.1 at x = 8, 9, and 11. Compute the true percent relative error.