1. The region R is bounded by the x-axis, x = 1, x = 3, and y =- x A. Find the area of R. B. Find the value of h, such that the vertical line x = h divides the region R into two regions of equal area.C. Find the volume of the solid generated when R is revolved about the x-axis. D. The vertical line x = k divides the region R into two regions such that when these two regions are revolved about the x-axis, they generate solids with equal volumes. Find the value of k.2. River currents (miles per hour) at a certain location are given below. The current direction at this location was "from the north" during the time interval shown, and the current did not exhibit any severe fluctuations other than those shown in the chart. Time of Day 6:00 AM 6:10 AM 6:20 AM 6:30 AM 6:40 AM Speed (mph) 17 20 22 21 17 A. Using trapezoids, estimate the average river current speed from the north from 6:00 AM until 6:40 AM. B. At approximately what time between 6:00 AM and 6:40 AM would you estimate that the river current had the average velocity?C. A message in a bottle near this location is released at 6:00 AM. Assuming that the bottle travels along with the river's current, approximately how far south will the bottle be at 6:40 AM? D. What is the average acceleration of this bottle from 6:00 AM to 6:40 AM