1. The daily production level is currently 100 filters and increasing by rate of 9 filters per day.

(a) Estimate the change in daily production over the next week. _________ filters (b) Estimate the daily production in a week. _________ filters

2. Consider the following function.

f(6) = 14, f'(6) = 4.6; x = 6.5

(a) Write a linearization for f with respect to x. f_L(x) =

(b) Use the linearization to estimate f at the given input.

f_L(6.5) =

3. Consider the following function.

f(10) = 6, f'(10) = 0.9; x = 10.4

(a) Write a linearization for f with respect to x.

f_L(x) =

(b) Use the linearization to estimate f at the given input.

f_L(10.4) =