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Student Guide {continued} FRO 1 A graphing calculator may NOT be used for the following problem. LetR he the region bound bvthe equations 3' =

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Student Guide {continued} FRO 1 A graphing calculator may NOT be used for the following problem. LetR he the region bound bvthe equations 3' = 1 + cos[x} and y = cscpc) in the rst quadrant on the interval Dstx. a} Write, but do not solve, an equation involving integral expressions whose solution is the area of the region R. h} Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis. o} Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line I = 1_ Student Guide {continued} FRO 2 A graphing calculator may be used for the following problem. Letfand g be the functions dened byfg}: gx-i- 2'2"\" + Land g[x] = g g +4x+2. Let Q and R be the two regions enclosed by the graphs of f and 9 shown in the gure above. a} Find the sum of the areas of regions (2 and R. h} The region Q is the base of a solid whose cross sections perpendicular to the x-axis are squares. Find the volume of the solid. c] The vertical line I = if divides region K into two equal regions with equal areas. Write, but do not solve, an equation involving inteng expressions whose solutions give the value it

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