Math 1014 Tutorial 7 (Revision Exercise) Area bounded by curves 1)Find the areas of the regions R1, R2, and R3(separately) shown in the figure below, which are formed by the graphs of √ , and Volumes of solids 2)Use the disk methodto find the volume of the solid which is generated by revolving the region bounded by the curves and about the x-axis3)The solid ABCDis cut from a quarter cylinder of radius ras shown. Its base is an isosceles triangle ABCwith AB = AC. The length of BC is aand the midpoint of BCis X. The cross-sections perpendicular to AXare rectangles. A typical cross-section is shown shaded in the diagram. Find the volume of the solid ABCD..
Math 1014 Tutorial 7 (Revision Exercise) 4)The diagram shows the region bounded by the graph , the x-axis and the lines