2. We substitute t=1 (any number from (0,15)) into f'(t)'

\(\displaystyle{f}'{\left({1}\right)}=-{\frac{{{1341}\dot{{1}}^{{{2}}}-{19728}\dot{{1}}-{5192}}}{{{100000}}}}={0.23578}\)

asked 2021-05-31

a. Plot the graph of f in the viewing window \([0,15]\times [0,10]\).

b. Prove that f is increasing on the interval [0, 15].

asked 2021-09-30

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 Email-trough 2007 is given by \(\displaystyle{W}{\left({t}\right)}={49.9}+{17.1}{\ln{{t}}}{\left({1}\leq{t}\right)}\) where W(t) 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).

b. What can you say about the concavity of the graph of W on the interval (1, 6)?

a. Show that W is increasing on (1, 6).

b. What can you say about the concavity of the graph of W on the interval (1, 6)?

asked 2021-05-14

a. Show that W is increasing on (1, 6).

b. What can you say about the concavity of the graph of W on the interval (1, 6)?

asked 2021-06-19

When two targets are presented close together in a rapid visual stream, the second target is often missed. Psychologists call this phenomenon the attentional blink (AB). A study published in Advances in Cognitive Psychology (July 2013) investigated whether simultaneous or preceding sounds could reduce AB. Twenty subjects were presented a rapid visual stream of symbols and letters on a computer screen and asked to identify the first and second letters (the targets). After several trials, the subject's AB magnitude was measured as the difference between the percentages of first target and second target letters correctly identified. Each subject performed the task under each of three conditions. In the Simultaneous condition, a sound (tone) was presented simultaneously with the second target; in the Alert condition, a sound was presented prior to the coming of the second target; and in the No-Tone condition, no sound was presented with the second target. Scatterplots of AB magnitude for each possible pair of conditions are shown below as well as the least squares line for each. a. Which pair of conditions produces the least squares line with the steepest estimated slope? b. Which pair of conditions produces the least squares line with the largest SSE? c. Which pair of conditions produces the least squares line with the smallest estímate of σ?

asked 2021-05-13

The population of Williston, North Dakota, has grown rapidly over the past decade due to an oil boom. The table gives the population of the town in 2007, 2009, and 2011.
Years Since 20007811 Population (thousands)12.413.016.0

Use your calculator to find an exponential equation that models the growth of the town.

Use your calculator to find an exponential equation that models the growth of the town.

asked 2021-08-21

Jack has been making $1000 a month for 15 years. How much did he make in total?