You can use 600 km for the width of Manitoba and 1000km for the length to make it simpler. And please show me how you draw the Riemann sum on the graph as i want to see the applications. Any assumptions is okay to play with as long as you can explain your steps to me but just one request, please show me a hand written solution on a paper as i have learning disability and I do not understand when it's typed out. you can also you a calculator as I wanna see the coordinates values of (x,y) and also the placement on the map. Attached a simpler version on the map which I am okay to use.THANK YOU!

1. 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.