Sales Analysis The total sales S (in thousands) of a video game are given by S(t) = at² t2 +b' where a = 89, b = 54, and t is the number of months since the release of the game. Find S(10) and S' (10). Use these results to estimate the total sales after 11 months. Do NOT compute the total sales after 11 months. approximately video games after 11 months

The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by  y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds  (ii)0.05 seconds  (iii)0.01 seconds  (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.

The number of fish, P, in a pond after t years is given by 120 1+4e-0.7t P = (a) Find the fish population in the pond at 3 years, and include units with your answer. Please circle your final answer. (b) Find the rate at which the fish population is growing at 3 years, and include units with your answer. Please circle your final answer.

The number of human heart stem cells n after t hours can be modeled by n(t) = 1000 · 2*/4 Find the number of cells after 17 hours. Round your answer to the nearest whole number.