1. Let f(x) = 1 -23. (a) Sketch the graph of f over the interval -1

1. Let = c $3. (a) Sketch the graph of f over the interval 1 (b) Evaluate dc. 1 (c) Set up a single integral to express the area bounded between the curve and the x-axis. Explain your answer and evaluate the integral. (d) Discuss why the integrals from (b) and (c) are different. 2. Consider the graph of the function f given below, (1.0) Graph of f Consider the accumulation function f (t) dt. (a) Determine the value of G(l) (b) Using the accumulation function, express the area bounded between the curve and the x-axis in terms of G. Hint: Careful, remember area can not be negative. 3. A train is cruising at 60 miles per hour when suddenly the engineer notices a cow on the track ahead of the train. The engineer applies the brakes, causing a constant deceleration in the train. Two minutes later the train grinds to a halt, barely touching the cow, which is too frightened to move. How far back was the train when the brakes were applied?