PLEASE NOTE: in this question. the moment of the region around the y-axis is denoted My; this is what i called Mm:0 in class. Similarly, the moment around the z-axis is denoted MI, which I called My:0 in class. We want to compute the centre of mass (or centroid) of the region R enclosed by the curves y : 0.25m:2 and :1: : 0.5y2. We assume that the density of this flat region is constant. a) Find the z-coordinate of the points of intersection of these two curves. Answer: FORMATTING: List your values separated by semicolons (;). b) Find the exact area A of the region R. A = a FORMATTING: For the remaining parts, round your answers with :l:0.001 precision. c) Find the moment My of the region R about the y axis. My = Number d) Find the moment M1; at the region R about the :1: axis. M1: = Number e) Finally, compute the coordinates :72, f} of the centre of mass of the region R. Number 5 Number eel ll