Problem 8. (5 points) The velocity function is v(t) = t2 + 5t 4 for a particle moving along a line. Find the displacement and the distance traveled by the particle during the time interval [-1,6]. displacement = distance traveled = Problem 5. (5 points) Find the area of the region enclosed between y = 3sin(x) and y = 2cos(x) from x =0 to x = 0.8. Hint: Notice that this region consists of two parts. Problem 6. (5 points) A graph of the velocity function v() of an object moving in a straight line is given above. Velocity is measured in m/s, and time in seconds. a) What is the object's maximum velocity? *? *s *m/s *m b) What is the object's maximum displacement? *? *s *m/s *m Problem 3. (5 points) Sketch the region between y = x> +x 2 and the x-axis over the interval [3,5]. Find the area of the region. The area is Problem 1. (5 points) Find the area of the region enclosed between f(x) = x* + 6x+4 and g(x) = 2x% + 3x. Area = (Note: The graph above represents both functions f and g but is intentionally left unlabeled.)