1. Graph the functions () = + 23 and () = 4 2 + 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 () and () from [0, 1]. b) If the region created on 0 0.528 is the base of a solid whose cross sections

perpendicular to the -axis are squares, determine the volume of the solid. 2. Determine the volume of the solid enclosed by () = + 3 and () = + 3 and is rotated about the

vertical line = 1.

2

3. Let K be the region in the first quadrant between the graphs of () = cos ( ) and () = 3.

have any trouble Ul'ldel'lal'ltlll'lg me requrremenrs. 35K your teacner Tor I'IEIP. Assignment 1. Graph the functions for) = x + exl'" and 30:) = x" 12 + 1 using technology. Paste your graph or draw a graph. and label the points o1 intersection, rounding values to three decimal places. a) Find the sum of the two areas created by the intersection of for) and 9(1) from [0, 1]. b) If the region created on I) s x s 0528 is the base ofa solid whose cross sections perpendicular to the x-axis are squares. determine the volume ot the solid. 2. Determine the volume oi the solid enclosed by for) = JE+ 3 and 9(y) = + 3 and is rotated about the vertical line x = 1. 3. Let K be the region in the rst quadrant between the graphs of f(x} = cos (g E) and 3(1) = 1'. Copyright 3 2022 Imagine Learning LLC Student Guide (continued) a) Determine the integral expression (without evaluation) to represent the volume of the solid created if the region K is rotated about y = 1