Let R be the region trapped between the functions defined by f(x) : 4cos[%]and 2 _ x HI) 7- Determine the area of region R. The line if = k passes through the two intersection points of the two functions and divides region R into an upper and lower region. Determine whether the upper or lower region is bigger. Show work to justify your answer. Determine the volume of the solid created when region R is rotated around the line y = -3