Let R = f(S) and f'(10) = 3. (a) For small S, write an approximate equation relating R and S near S = 10. (b)

Let R = f(S) and f'(10) = 3.
(a) For small ΔS, write an approximate equation relating ΔR and ΔS near S = 10.
(b) Estimate the change in R if S changes from S = 10 to S = 10.2.
(c) Let f(10) = 13. Estimate f(10.2).