A particle moves along a straight line. For 0 <= t <= 5, the position of the particle is given by s(t) = 3t + 4t^2 - t^3 What is the average velocity of the particle over the interval 0 <= t <= 4?
Find a general expression for the velocity of the particle as a function of time, v(t), and determine the value of v at t=2. Is the particle traveling to the left or the right at this point? Justify your answer.
Find all times t during the interval 0 <= t<= 5 that the particle changes direction. Justify your answer.
At t = 4, is the speed of the particle increasing or decreasing? Justify your answer

In a recent telephone survey, 5,000 randomly selected teenagers were asked to cite their primary social network site. six of 10 teenagers said they use mybook as their primary social network site. a 95% confidence interval to estimate the true proportion of teenagers who use mybook as their primary social network site is found to be (0.2964, 0.9036). which of the following is a correct interpretation of the confidence level? ninety-five percent of all samples of this size would yield a confidence interval of (0.2964, 0.9036). there is a 95% chance that the true proportion of teenagers who use mybook as their primary social network site is in the interval (0.2964, 0.9036). ninety-five percent of the time, the procedure used to generate this interval will capture the true proportion of teenagers who use mybook as their primary social network site. ninety-five percent of all the samples of size 5,000 lie in the confidence interval (0.2964, 0.9036).