X 0 0.4 0.8 1.2 1.8 2.2 2.6 f(x) 2.0 2.1465 2.5 2.6 2.0 0.8 0.4 a) Numerically calculate the position at t=2.6 seconds as precise as possible by using the most proper method(s). Initial position is 3 m. b) Numerically calculate the acceleration at t=2.5 seconds by using the linear interpolation Obtain the results with 3 decimals.

A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?

If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.

Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?