1. The velocity of a particle moving along the x-axis is v(t) = t² + 2t + 1, with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = 2 minutes.

Numerical Answers Expected!

2. The graph of y = f ?(x), the derivative of f(x), is shown below. List the intervals where the graph of f is increasing.