AP Calculus BC Unit 3 Project TRUCK DRIVER Write-up: Include a problem statement for both problems. TYPE all work and answers. No conclusion is needed. * * *CALCULATOR PORTION*** I always wanted to be a cross country Bir Rig truck driver! Here is the displacement graph of my first attempt at driving a semi. They let me park the truck in the garage. D(t) is the displacement from my garage in meters and t represents time in seconds. 30 + 10t D (t) = 1 + e.5t-4 Outs 20, OSD S 70 a) Graph the Displacement, Velocity, and Acceleration functions on three SEPARATE graphs. Use the same domain but pick an appropriate range for each function. Include these screenshots in your write-up. b) When is the displacement graph increasing? When is it decreasing? How does the velocity graph show this? Explain what is going on with my truck! c) Find any critical point(s) on the displacement graph. What is their location on the velocity graph? Explain what is going on with my truck! d) Find any point(s) of inflection on the displacement graph. Find their location on all three graphs. Give both the coordinate point and the special type of point it is on each graph. Explain what is going on with my truck! e) Find the intervals of concavity for the displacement graph. Extension (still required): Create a function which is continuous, has a point of inflection, and at the point of inflection the first derivative is undefined. Include the equation of the function, a screenshot of the graph, and a short description of what type of point creates this set of circumstances