Consider the function g($, y) given by y S |93| + 1 gm:7 y) = 1 1'2 y + 23} restricted to the region where y 2 a: y 2 0 (a) Draw a diagram showing the region on the XY plane. (b) Integrate g(3:7 y) over the given region. Give your answer to 3 decimal places. Show all of your work7 but you may use a calculator for evaluating complicated algebraic expressions. Make sure to explain m words each of the steps you are doing. Note: You must write out all the work for doing the double integration by hand. You will not get credit if you simply plug in the double integral into an online calculator