A population of insects increases at a rate 290 + 6t + 0.9t² insects per day (t in days). Find the insects population after 5 days assuming that there are 60 insects at t = 0. (Give your answer as a whole or exact number.) population: insects

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.

height If a ball is tossed from the roof of a penthouse, it's eight above the ground t seconds after it is 11. 2 dropped will be s(1) = -8²–4t+3feet. 400-166t %3D a) Find the velocity 2 seconds after it is tossed. b) Find the acceleration 2 seconds after it is tossed. c) Find the velocity with which it will hit the ground.

The spread of a virus through particular population is modeled by (photo attached), where t is the number of days. How many were infected initially (t=0) and and the end of 7 days