MATH 201 - Homework 19 1. On Homework 18, you estimated the distance traveled by a motorboat over an 8-second period of time as it came in to dock. Here, again, is a graph of the velocity of the motorboat over this period of time. The function I used to model the velocity of the motorboat in Desmos is (!) =4-= 16 where : is time in seconds and velocity is in meters per second. J. On the graph, shade in an area that represents the exact value of the distance traveled by the boat as it comes in to dock. b. Write a definite integral that represents the exact value of the distance traveled by the motorboat over this A second period. 2. Consider again the velocity function (!) =4- 1 16 Recall from class that velocity is the derivative of the position function, s((). Therefore, we can write s'(0) =4- 1 16 Given this formula for s'((). write a possible formula for s (!) as we did in class, by running the derivatives rules "in reverse". In other words, find a so-called entiderivative for s'(!). Here are some steps you can follow to answer this question: First, give a function whose derivative is equal to the constant function, 4. Next, give a function whose derivative is equal to the function - _pa. Add your answers together to write a function whose derivative is equal to 4 - -13