Please provide steps as to how the answer is calculated

. (8 points) Find f(3:) if f'(:r) : 33:2 + 2 and f(1) : 4 . (8 points) Find f'(:) if f(:c) : (1:2 + 1)Jln(x4 + 6). . (10 points) Use a Riemann sum to approximatefl3 lJrlEQdat. Let the number of subin- tervals be an : 4 and use the midpoints of the subintervals as the selected points in the sum. . (16 points) Find the area of the region bounded by the curvesy = 1:2 + z: + 2 and y = 5 3:. _ (14 points) A certain cell culture grows at a rate proportional to its size. In 4 hours a population of 40,000 grew to 160,000. How large will the population be after 12 hours? . (14 points) Find the volume of the solid of revolution generated by revolving about the xaxis the region bounded by the curveyl : 843: and the xaxis from a: = 0 to 3:1. . (30 points) Find (a) f $0333 e 1115:: 2 (b) f1 ( (1)) d3: (c) f4sce$2dx