Question 1 50 pts Consider the region A in the rst quadrant bounded by the graphs of f(:1:) = % and g(x) = sin(%'). a) Find the area of the region A. b) Find the slope of the tangent line to the graph of g (as) = 511%?) at the point where f (at) and g (:L') intersect. c) Find the volume of the solid generated by revolving the region A over the horizontal line y = 1 d) The region A is the base of a solid with square cross-sections perpendicular to the x-axis. Find the volume of this region