Use calculus to nd the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) X x = on 2, 7 f( ) |n(X) [ ] Absolute maximum value: 111(36) x at X = 7 '/ (Enter your answers as a comma-separated list if there are multiple Xvalues.) Absolute minimum value: 6 atx = e '/ (Enter your answers as a comma-separated list if there are multiple x-values.) j-l0.5 Points] E Average Life Span One reason for the increase in the life span over the years has been the advances in medical technology. The average life span for American women from 1907 through 2007 is given by W(t) = 49.9 + 17.1 |n(t) (1 s t s 6) where Mr) is measured in years and t is measured in 20-year intervals, with t = 1 corresponding to the beginning of 1907. (a) Show that W is increasing on (1, 6). Since W' 0 on [1, 6], then W is increasing on (1, 6). (b) What can you say about the concavity of the graph of W on the interval (1, 6)? Since W" 0 on (1, 6), then W is concave downward on (1, 6). ' Since W" 0 on (1, 6), then W is concave upward on (1, 6). ' Since W' > 0 on (1, 6), then W is concave upward on (1, 6)