Assignment:
Rates of Change
Q1. Go to a financial website , pick your favorite stock. By p(t) denote the price at which the stock was exchanged at time t where t is measured in seconds from last Friday midday. What does p(0) mean? What does p(7200) mean? Estimate the average rate of change of the stock for the following time intervals
Based on your calculations do you think the instantaneous rate of change of the price p(t) exist? Can you briefly describe in words the behavior of p(t) near t = 0.
Q2. An object is moving along the straight line as follows. It starts at x = 0 and then it moves to the right to x = 2. Then the objects moves to the left to x = - 3 , and finally to the right to stop at x = 1 . Sketch a possible graph of the position function s(t) . Sketch a possible graph of the velocity v(t) (the instantaneous rate of change of s(t) ).
Provide complete and step by step solution for the question and show calculations and use formulas.