An individual consumes two goods: x and y. Its request functions are  = /2 ;  = /2 where m is the income, and px and py are the prices. a) Find the equation of the Angel curve of good x and draw its graph. b) Find the equation for the path of income growth and plot its graph. c) Trace the path of price expansion (for a drop in px). d) Is good x a normal good? Why? e) Is the good a Giffen good? Why? f) Is good x a good of necessity? Why? g) Are this person's preferences homothetic? Why?