Assignment 1. Graph the functions f(x) = x + ex2'3" and g(x) = x4 x2 + 1 using technology. Paste your graph or draw a graph, and label the points of intersection, rounding values to three decimal places. a) Find the sum of the two areas created by the intersection of f (x) and g(x) from [0, 1]. b) If the region created on 0 s x g 0.528 is the base of a solid whose cross sections perpendicular to the x-axis are squares, determine the volume of the solid. 2. Determine the volume of the solid enclosed by f (y) = J37 + 3 and g(y) = g + 3 and is rotated about the vertical line x = 1. 3. Let K be the region in the first quadrant between the graphs of f(x) = cos (\"Zx g) and g(x) = x3. a) Determine the integral expression (without evaluation) to represent the volume of the solid created if the region K is rotated about y = 1