Use Riemann sums to estimate the centre of mass of Manitoba. No, really. The centre of mass exists, of course. There is a point on which one could balance the entire province. Use the formulae in your Statics textbook to figure out the technique that is used to find the centre of mass and use Riemann sums to approximate the point. Use intervals of 100 km in width. Your mark will depend on (i) explaining the formula for the centre of mass, (ii) showing on a map the dimensions that you take, and (iii) showing the results and locating them in the province. you are free to use a calculator and simplify the map by using rectangles and triangles. p