QUESTION 4 (15 Marks) Tilt-slab construction (aka tilt-wall or tilt-up) In tilt-slab construction (see figure), we have a concrete wall (with doors and windows cut out) which we need to raise

into position. We don't want the wall to crack as we raise it, so we need to know the center of mass of the wall. Determine the center of mass for the wall if the shape of the wall is represented by (a) (b) the region R bounded by y=2 sin (2x), y=0 on the interval 0, ¹[0,1]. the region R bounded by y=x³ and y=√x.